Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Character | \(\chi\) | \(=\) | 49.25 |
Dual form | 49.2.g.a.2.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{8}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.16258 | − | 0.358609i | 0.822069 | − | 0.253575i | 0.144941 | − | 0.989440i | \(-0.453701\pi\) |
0.677128 | + | 0.735865i | \(0.263224\pi\) | |||||||
\(3\) | 0.190201 | + | 0.484624i | 0.109813 | + | 0.279798i | 0.975207 | − | 0.221293i | \(-0.0710276\pi\) |
−0.865395 | + | 0.501090i | \(0.832932\pi\) | |||||||
\(4\) | −0.429482 | + | 0.292816i | −0.214741 | + | 0.146408i | ||||
\(5\) | −2.56601 | − | 0.386764i | −1.14756 | − | 0.172966i | −0.452393 | − | 0.891819i | \(-0.649430\pi\) |
−0.695163 | + | 0.718853i | \(0.744668\pi\) | |||||||
\(6\) | 0.394914 | + | 0.495207i | 0.161223 | + | 0.202167i | ||||
\(7\) | −0.339612 | − | 2.62386i | −0.128361 | − | 0.991727i | ||||
\(8\) | −1.91142 | + | 2.39684i | −0.675788 | + | 0.847412i | ||||
\(9\) | 2.00047 | − | 1.85617i | 0.666824 | − | 0.618722i | ||||
\(10\) | −3.12189 | + | 0.470550i | −0.987230 | + | 0.148801i | ||||
\(11\) | 2.81747 | + | 2.61423i | 0.849498 | + | 0.788219i | 0.979107 | − | 0.203346i | \(-0.0651816\pi\) |
−0.129609 | + | 0.991565i | \(0.541372\pi\) | |||||||
\(12\) | −0.223594 | − | 0.152444i | −0.0645459 | − | 0.0440067i | ||||
\(13\) | −0.203490 | + | 0.891548i | −0.0564380 | + | 0.247271i | −0.995276 | − | 0.0970890i | \(-0.969047\pi\) |
0.938838 | + | 0.344360i | \(0.111904\pi\) | |||||||
\(14\) | −1.33577 | − | 2.92867i | −0.356999 | − | 0.782719i | ||||
\(15\) | −0.300623 | − | 1.31711i | −0.0776204 | − | 0.340077i | ||||
\(16\) | −0.982839 | + | 2.50423i | −0.245710 | + | 0.626058i | ||||
\(17\) | −0.368687 | + | 4.91979i | −0.0894198 | + | 1.19322i | 0.754333 | + | 0.656492i | \(0.227960\pi\) |
−0.843753 | + | 0.536732i | \(0.819659\pi\) | |||||||
\(18\) | 1.66007 | − | 2.87533i | 0.391283 | − | 0.677722i | ||||
\(19\) | −1.24507 | − | 2.15652i | −0.285639 | − | 0.494741i | 0.687125 | − | 0.726539i | \(-0.258872\pi\) |
−0.972764 | + | 0.231798i | \(0.925539\pi\) | |||||||
\(20\) | 1.21531 | − | 0.585261i | 0.271751 | − | 0.130868i | ||||
\(21\) | 1.20699 | − | 0.663645i | 0.263387 | − | 0.144819i | ||||
\(22\) | 4.21302 | + | 2.02888i | 0.898219 | + | 0.432559i | ||||
\(23\) | −0.295127 | − | 3.93820i | −0.0615382 | − | 0.821171i | −0.939524 | − | 0.342484i | \(-0.888732\pi\) |
0.877986 | − | 0.478687i | \(-0.158887\pi\) | |||||||
\(24\) | −1.52512 | − | 0.470437i | −0.311314 | − | 0.0960276i | ||||
\(25\) | 1.65697 | + | 0.511106i | 0.331393 | + | 0.102221i | ||||
\(26\) | 0.0831433 | + | 1.10947i | 0.0163057 | + | 0.217585i | ||||
\(27\) | 2.68720 | + | 1.29409i | 0.517152 | + | 0.249047i | ||||
\(28\) | 0.914167 | + | 1.02746i | 0.172761 | + | 0.194172i | ||||
\(29\) | −4.93929 | + | 2.37864i | −0.917203 | + | 0.441702i | −0.832072 | − | 0.554668i | \(-0.812845\pi\) |
−0.0851311 | + | 0.996370i | \(0.527131\pi\) | |||||||
\(30\) | −0.821827 | − | 1.42345i | −0.150044 | − | 0.259884i | ||||
\(31\) | 4.93280 | − | 8.54386i | 0.885957 | − | 1.53452i | 0.0413431 | − | 0.999145i | \(-0.486836\pi\) |
0.844613 | − | 0.535377i | \(-0.179830\pi\) | |||||||
\(32\) | 0.213607 | − | 2.85038i | 0.0377607 | − | 0.503881i | ||||
\(33\) | −0.731033 | + | 1.86264i | −0.127256 | + | 0.324244i | ||||
\(34\) | 1.33565 | + | 5.85187i | 0.229062 | + | 1.00359i | ||||
\(35\) | −0.143368 | + | 6.86422i | −0.0242336 | + | 1.16026i | ||||
\(36\) | −0.315652 | + | 1.38296i | −0.0526086 | + | 0.230494i | ||||
\(37\) | 1.81240 | + | 1.23567i | 0.297957 | + | 0.203144i | 0.703066 | − | 0.711125i | \(-0.251814\pi\) |
−0.405109 | + | 0.914269i | \(0.632766\pi\) | |||||||
\(38\) | −2.22084 | − | 2.06064i | −0.360268 | − | 0.334280i | ||||
\(39\) | −0.470769 | + | 0.0709571i | −0.0753834 | + | 0.0113622i | ||||
\(40\) | 5.83173 | − | 5.41106i | 0.922078 | − | 0.855564i | ||||
\(41\) | −1.31817 | + | 1.65294i | −0.205864 | + | 0.258145i | −0.874036 | − | 0.485862i | \(-0.838506\pi\) |
0.668171 | + | 0.744007i | \(0.267077\pi\) | |||||||
\(42\) | 1.16524 | − | 1.20438i | 0.179800 | − | 0.185840i | ||||
\(43\) | −2.67576 | − | 3.35529i | −0.408049 | − | 0.511677i | 0.534763 | − | 0.845002i | \(-0.320401\pi\) |
−0.942812 | + | 0.333325i | \(0.891829\pi\) | |||||||
\(44\) | −1.97554 | − | 0.297765i | −0.297824 | − | 0.0448897i | ||||
\(45\) | −5.85113 | + | 3.98923i | −0.872235 | + | 0.594680i | ||||
\(46\) | −1.75538 | − | 4.47264i | −0.258817 | − | 0.659455i | ||||
\(47\) | −5.46547 | + | 1.68588i | −0.797221 | + | 0.245910i | −0.666496 | − | 0.745508i | \(-0.732207\pi\) |
−0.130725 | + | 0.991419i | \(0.541731\pi\) | |||||||
\(48\) | −1.40055 | −0.202152 | ||||||||
\(49\) | −6.76933 | + | 1.78219i | −0.967047 | + | 0.254599i | ||||
\(50\) | 2.10965 | 0.298349 | ||||||||
\(51\) | −2.45437 | + | 0.757073i | −0.343681 | + | 0.106011i | ||||
\(52\) | −0.173664 | − | 0.442489i | −0.0240829 | − | 0.0613622i | ||||
\(53\) | −6.34668 | + | 4.32710i | −0.871784 | + | 0.594372i | −0.914442 | − | 0.404717i | \(-0.867370\pi\) |
0.0426577 | + | 0.999090i | \(0.486418\pi\) | |||||||
\(54\) | 3.58816 | + | 0.540828i | 0.488287 | + | 0.0735974i | ||||
\(55\) | −6.21857 | − | 7.79783i | −0.838511 | − | 1.05146i | ||||
\(56\) | 6.93813 | + | 4.20131i | 0.927147 | + | 0.561423i | ||||
\(57\) | 0.808290 | − | 1.01356i | 0.107061 | − | 0.134250i | ||||
\(58\) | −4.88932 | + | 4.53663i | −0.642000 | + | 0.595689i | ||||
\(59\) | 9.59270 | − | 1.44587i | 1.24886 | − | 0.188236i | 0.508866 | − | 0.860846i | \(-0.330065\pi\) |
0.739997 | + | 0.672610i | \(0.234827\pi\) | |||||||
\(60\) | 0.514784 | + | 0.477650i | 0.0664583 | + | 0.0616643i | ||||
\(61\) | 11.9510 | + | 8.14808i | 1.53017 | + | 1.04325i | 0.977771 | + | 0.209677i | \(0.0672412\pi\) |
0.552402 | + | 0.833578i | \(0.313711\pi\) | |||||||
\(62\) | 2.67088 | − | 11.7019i | 0.339202 | − | 1.48614i | ||||
\(63\) | −5.54971 | − | 4.61859i | −0.699198 | − | 0.581888i | ||||
\(64\) | −1.97109 | − | 8.63589i | −0.246386 | − | 1.07949i | ||||
\(65\) | 0.866976 | − | 2.20902i | 0.107535 | − | 0.273995i | ||||
\(66\) | −0.181925 | + | 2.42763i | −0.0223935 | + | 0.298820i | ||||
\(67\) | −3.38010 | + | 5.85450i | −0.412944 | + | 0.715241i | −0.995210 | − | 0.0977579i | \(-0.968833\pi\) |
0.582266 | + | 0.812998i | \(0.302166\pi\) | |||||||
\(68\) | −1.28225 | − | 2.22092i | −0.155495 | − | 0.269326i | ||||
\(69\) | 1.85241 | − | 0.892074i | 0.223004 | − | 0.107393i | ||||
\(70\) | 2.29489 | + | 8.03162i | 0.274292 | + | 0.959963i | ||||
\(71\) | 5.32370 | + | 2.56376i | 0.631807 | + | 0.304262i | 0.722242 | − | 0.691640i | \(-0.243112\pi\) |
−0.0904355 | + | 0.995902i | \(0.528826\pi\) | |||||||
\(72\) | 0.625201 | + | 8.34273i | 0.0736806 | + | 0.983200i | ||||
\(73\) | 10.8638 | + | 3.35103i | 1.27151 | + | 0.392209i | 0.855808 | − | 0.517293i | \(-0.173060\pi\) |
0.415701 | + | 0.909502i | \(0.363536\pi\) | |||||||
\(74\) | 2.55019 | + | 0.786629i | 0.296453 | + | 0.0914438i | ||||
\(75\) | 0.0674620 | + | 0.900218i | 0.00778985 | + | 0.103948i | ||||
\(76\) | 1.16620 | + | 0.561613i | 0.133772 | + | 0.0644214i | ||||
\(77\) | 5.90253 | − | 8.28048i | 0.672656 | − | 0.943648i | ||||
\(78\) | −0.521862 | + | 0.251315i | −0.0590892 | + | 0.0284559i | ||||
\(79\) | 2.95633 | + | 5.12051i | 0.332613 | + | 0.576102i | 0.983023 | − | 0.183481i | \(-0.0587365\pi\) |
−0.650411 | + | 0.759583i | \(0.725403\pi\) | |||||||
\(80\) | 3.49052 | − | 6.04576i | 0.390252 | − | 0.675937i | ||||
\(81\) | 0.495769 | − | 6.61558i | 0.0550855 | − | 0.735064i | ||||
\(82\) | −0.939726 | + | 2.39438i | −0.103775 | + | 0.264415i | ||||
\(83\) | −0.604760 | − | 2.64963i | −0.0663811 | − | 0.290834i | 0.930831 | − | 0.365449i | \(-0.119085\pi\) |
−0.997212 | + | 0.0746145i | \(0.976227\pi\) | |||||||
\(84\) | −0.324056 | + | 0.638451i | −0.0353574 | + | 0.0696607i | ||||
\(85\) | 2.84885 | − | 12.4816i | 0.309001 | − | 1.35382i | ||||
\(86\) | −4.31402 | − | 2.94125i | −0.465193 | − | 0.317163i | ||||
\(87\) | −2.09220 | − | 1.94128i | −0.224307 | − | 0.208127i | ||||
\(88\) | −11.6513 | + | 1.75614i | −1.24203 | + | 0.187206i | ||||
\(89\) | −0.713274 | + | 0.661821i | −0.0756069 | + | 0.0701529i | −0.717071 | − | 0.697000i | \(-0.754518\pi\) |
0.641464 | + | 0.767153i | \(0.278327\pi\) | |||||||
\(90\) | −5.37184 | + | 6.73608i | −0.566242 | + | 0.710045i | ||||
\(91\) | 2.40841 | + | 0.231150i | 0.252470 | + | 0.0242311i | ||||
\(92\) | 1.27992 | + | 1.60497i | 0.133441 | + | 0.167329i | ||||
\(93\) | 5.07878 | + | 0.765503i | 0.526645 | + | 0.0793789i | ||||
\(94\) | −5.74949 | + | 3.91994i | −0.593015 | + | 0.404310i | ||||
\(95\) | 2.36080 | + | 6.01521i | 0.242213 | + | 0.617148i | ||||
\(96\) | 1.42199 | − | 0.438626i | 0.145131 | − | 0.0447671i | ||||
\(97\) | −17.8162 | −1.80896 | −0.904482 | − | 0.426512i | \(-0.859742\pi\) | ||||
−0.904482 | + | 0.426512i | \(0.859742\pi\) | |||||||
\(98\) | −7.23078 | + | 4.49948i | −0.730420 | + | 0.454516i | ||||
\(99\) | 10.4887 | 1.05415 | ||||||||
\(100\) | −0.861298 | + | 0.265675i | −0.0861298 | + | 0.0265675i | ||||
\(101\) | −2.13585 | − | 5.44206i | −0.212525 | − | 0.541505i | 0.784366 | − | 0.620299i | \(-0.212989\pi\) |
−0.996891 | + | 0.0787932i | \(0.974893\pi\) | |||||||
\(102\) | −2.58191 | + | 1.76032i | −0.255648 | + | 0.174298i | ||||
\(103\) | −6.57280 | − | 0.990690i | −0.647637 | − | 0.0976156i | −0.182995 | − | 0.983114i | \(-0.558579\pi\) |
−0.464643 | + | 0.885498i | \(0.653817\pi\) | |||||||
\(104\) | −1.74795 | − | 2.19185i | −0.171400 | − | 0.214929i | ||||
\(105\) | −3.35383 | + | 1.23610i | −0.327300 | + | 0.120631i | ||||
\(106\) | −5.82680 | + | 7.30658i | −0.565949 | + | 0.709678i | ||||
\(107\) | 2.03473 | − | 1.88795i | 0.196705 | − | 0.182515i | −0.575671 | − | 0.817682i | \(-0.695259\pi\) |
0.772375 | + | 0.635166i | \(0.219068\pi\) | |||||||
\(108\) | −1.53303 | + | 0.231068i | −0.147516 | + | 0.0222345i | ||||
\(109\) | −3.50186 | − | 3.24925i | −0.335417 | − | 0.311222i | 0.494424 | − | 0.869221i | \(-0.335379\pi\) |
−0.829842 | + | 0.557999i | \(0.811569\pi\) | |||||||
\(110\) | −10.0260 | − | 6.83558i | −0.955938 | − | 0.651747i | ||||
\(111\) | −0.254117 | + | 1.11336i | −0.0241197 | + | 0.105675i | ||||
\(112\) | 6.90455 | + | 1.72837i | 0.652419 | + | 0.163315i | ||||
\(113\) | −2.54647 | − | 11.1568i | −0.239552 | − | 1.04954i | −0.941420 | − | 0.337238i | \(-0.890507\pi\) |
0.701868 | − | 0.712307i | \(-0.252350\pi\) | |||||||
\(114\) | 0.576230 | − | 1.46821i | 0.0539689 | − | 0.137510i | ||||
\(115\) | −0.765853 | + | 10.2196i | −0.0714162 | + | 0.952983i | ||||
\(116\) | 1.42483 | − | 2.46789i | 0.132293 | − | 0.229137i | ||||
\(117\) | 1.24779 | + | 2.16123i | 0.115358 | + | 0.199806i | ||||
\(118\) | 10.6338 | − | 5.12097i | 0.978920 | − | 0.471423i | ||||
\(119\) | 13.0341 | − | 0.703434i | 1.19483 | − | 0.0644837i | ||||
\(120\) | 3.73153 | + | 1.79701i | 0.340640 | + | 0.164044i | ||||
\(121\) | 0.281905 | + | 3.76176i | 0.0256277 | + | 0.341978i | ||||
\(122\) | 16.8160 | + | 5.18706i | 1.52245 | + | 0.469614i | ||||
\(123\) | −1.05177 | − | 0.324428i | −0.0948350 | − | 0.0292527i | ||||
\(124\) | 0.383229 | + | 5.11384i | 0.0344150 | + | 0.459236i | ||||
\(125\) | 7.63593 | + | 3.67727i | 0.682979 | + | 0.328905i | ||||
\(126\) | −8.10826 | − | 3.37931i | −0.722341 | − | 0.301053i | ||||
\(127\) | −4.60770 | + | 2.21895i | −0.408867 | + | 0.196900i | −0.627000 | − | 0.779019i | \(-0.715718\pi\) |
0.218133 | + | 0.975919i | \(0.430003\pi\) | |||||||
\(128\) | −2.53008 | − | 4.38223i | −0.223630 | − | 0.387338i | ||||
\(129\) | 1.11712 | − | 1.93492i | 0.0983573 | − | 0.170360i | ||||
\(130\) | 0.215756 | − | 2.87907i | 0.0189231 | − | 0.252511i | ||||
\(131\) | −0.718127 | + | 1.82976i | −0.0627431 | + | 0.159867i | −0.958807 | − | 0.284058i | \(-0.908319\pi\) |
0.896064 | + | 0.443925i | \(0.146414\pi\) | |||||||
\(132\) | −0.231446 | − | 1.01403i | −0.0201448 | − | 0.0882599i | ||||
\(133\) | −5.23559 | + | 3.99928i | −0.453983 | + | 0.346781i | ||||
\(134\) | −1.83016 | + | 8.01846i | −0.158102 | + | 0.692689i | ||||
\(135\) | −6.39488 | − | 4.35995i | −0.550384 | − | 0.375245i | ||||
\(136\) | −11.0872 | − | 10.2875i | −0.950723 | − | 0.882142i | ||||
\(137\) | 7.49035 | − | 1.12899i | 0.639944 | − | 0.0964561i | 0.178948 | − | 0.983858i | \(-0.442730\pi\) |
0.460996 | + | 0.887402i | \(0.347492\pi\) | |||||||
\(138\) | 1.83367 | − | 1.70140i | 0.156093 | − | 0.144833i | ||||
\(139\) | −0.887556 | + | 1.11296i | −0.0752815 | + | 0.0944000i | −0.818046 | − | 0.575153i | \(-0.804943\pi\) |
0.742765 | + | 0.669553i | \(0.233514\pi\) | |||||||
\(140\) | −1.94838 | − | 2.99004i | −0.164668 | − | 0.252705i | ||||
\(141\) | −1.85655 | − | 2.32804i | −0.156350 | − | 0.196057i | ||||
\(142\) | 7.10862 | + | 1.07145i | 0.596542 | + | 0.0899142i | ||||
\(143\) | −2.90404 | + | 1.97994i | −0.242848 | + | 0.165571i | ||||
\(144\) | 2.68213 | + | 6.83396i | 0.223511 | + | 0.569496i | ||||
\(145\) | 13.5942 | − | 4.19327i | 1.12894 | − | 0.348232i | ||||
\(146\) | 13.8317 | 1.14472 | ||||||||
\(147\) | −2.15122 | − | 2.94160i | −0.177430 | − | 0.242619i | ||||
\(148\) | −1.14022 | −0.0937255 | ||||||||
\(149\) | −3.37374 | + | 1.04066i | −0.276387 | + | 0.0852542i | −0.429850 | − | 0.902900i | \(-0.641434\pi\) |
0.153463 | + | 0.988154i | \(0.450957\pi\) | |||||||
\(150\) | 0.401256 | + | 1.02238i | 0.0327624 | + | 0.0834774i | ||||
\(151\) | 17.9515 | − | 12.2391i | 1.46087 | − | 0.996004i | 0.467140 | − | 0.884183i | \(-0.345284\pi\) |
0.993728 | − | 0.111820i | \(-0.0356681\pi\) | |||||||
\(152\) | 7.54870 | + | 1.13778i | 0.612280 | + | 0.0922864i | ||||
\(153\) | 8.39440 | + | 10.5262i | 0.678647 | + | 0.850996i | ||||
\(154\) | 3.89272 | − | 11.7434i | 0.313685 | − | 0.946312i | ||||
\(155\) | −15.9621 | + | 20.0158i | −1.28210 | + | 1.60771i | ||||
\(156\) | 0.181410 | − | 0.168324i | 0.0145244 | − | 0.0134767i | ||||
\(157\) | −18.3097 | + | 2.75975i | −1.46127 | + | 0.220252i | −0.831066 | − | 0.556174i | \(-0.812269\pi\) |
−0.630209 | + | 0.776426i | \(0.717031\pi\) | |||||||
\(158\) | 5.27323 | + | 4.89284i | 0.419516 | + | 0.389254i | ||||
\(159\) | −3.30416 | − | 2.25274i | −0.262037 | − | 0.178654i | ||||
\(160\) | −1.65054 | + | 7.23150i | −0.130487 | + | 0.571700i | ||||
\(161\) | −10.2331 | + | 2.11183i | −0.806478 | + | 0.166436i | ||||
\(162\) | −1.79603 | − | 7.86894i | −0.141110 | − | 0.618242i | ||||
\(163\) | 3.01209 | − | 7.67468i | 0.235925 | − | 0.601127i | −0.763052 | − | 0.646337i | \(-0.776300\pi\) |
0.998978 | + | 0.0452092i | \(0.0143955\pi\) | |||||||
\(164\) | 0.0821256 | − | 1.09589i | 0.00641293 | − | 0.0855746i | ||||
\(165\) | 2.59624 | − | 4.49682i | 0.202117 | − | 0.350077i | ||||
\(166\) | −1.65326 | − | 2.86354i | −0.128318 | − | 0.222253i | ||||
\(167\) | −1.64289 | + | 0.791175i | −0.127131 | + | 0.0612230i | −0.496368 | − | 0.868112i | \(-0.665333\pi\) |
0.369237 | + | 0.929335i | \(0.379619\pi\) | |||||||
\(168\) | −0.716415 | + | 4.16148i | −0.0552726 | + | 0.321065i | ||||
\(169\) | 10.9591 | + | 5.27765i | 0.843011 | + | 0.405973i | ||||
\(170\) | −1.16400 | − | 15.5325i | −0.0892750 | − | 1.19129i | ||||
\(171\) | −6.49359 | − | 2.00301i | −0.496578 | − | 0.153174i | ||||
\(172\) | 2.13167 | + | 0.657534i | 0.162539 | + | 0.0501365i | ||||
\(173\) | −1.35915 | − | 18.1366i | −0.103334 | − | 1.37890i | −0.772135 | − | 0.635458i | \(-0.780811\pi\) |
0.668801 | − | 0.743441i | \(-0.266808\pi\) | |||||||
\(174\) | −3.12851 | − | 1.50661i | −0.237172 | − | 0.114216i | ||||
\(175\) | 0.778348 | − | 4.52123i | 0.0588376 | − | 0.341773i | ||||
\(176\) | −9.31575 | + | 4.48623i | −0.702201 | + | 0.338162i | ||||
\(177\) | 2.52524 | + | 4.37385i | 0.189809 | + | 0.328758i | ||||
\(178\) | −0.591904 | + | 1.02521i | −0.0443651 | + | 0.0768425i | ||||
\(179\) | −1.20944 | + | 16.1389i | −0.0903978 | + | 1.20627i | 0.748930 | + | 0.662649i | \(0.230568\pi\) |
−0.839328 | + | 0.543626i | \(0.817051\pi\) | |||||||
\(180\) | 1.34485 | − | 3.42661i | 0.100239 | − | 0.255405i | ||||
\(181\) | 3.49771 | + | 15.3245i | 0.259983 | + | 1.13906i | 0.921269 | + | 0.388926i | \(0.127154\pi\) |
−0.661286 | + | 0.750134i | \(0.729989\pi\) | |||||||
\(182\) | 2.88286 | − | 0.594946i | 0.213692 | − | 0.0441003i | ||||
\(183\) | −1.67566 | + | 7.34153i | −0.123868 | + | 0.542701i | ||||
\(184\) | 10.0033 | + | 6.82017i | 0.737457 | + | 0.502789i | ||||
\(185\) | −4.17273 | − | 3.87173i | −0.306785 | − | 0.284655i | ||||
\(186\) | 6.17901 | − | 0.931336i | 0.453067 | − | 0.0682889i | ||||
\(187\) | −13.9002 | + | 12.8975i | −1.01648 | + | 0.943159i | ||||
\(188\) | 1.85367 | − | 2.32443i | 0.135193 | − | 0.169527i | ||||
\(189\) | 2.48290 | − | 7.49033i | 0.180605 | − | 0.544842i | ||||
\(190\) | 4.90173 | + | 6.14657i | 0.355609 | + | 0.445919i | ||||
\(191\) | −18.9561 | − | 2.85718i | −1.37162 | − | 0.206738i | −0.578439 | − | 0.815726i | \(-0.696338\pi\) |
−0.793180 | + | 0.608987i | \(0.791576\pi\) | |||||||
\(192\) | 3.81026 | − | 2.59779i | 0.274982 | − | 0.187479i | ||||
\(193\) | −5.01550 | − | 12.7793i | −0.361024 | − | 0.919873i | −0.989823 | − | 0.142306i | \(-0.954548\pi\) |
0.628799 | − | 0.777568i | \(-0.283547\pi\) | |||||||
\(194\) | −20.7128 | + | 6.38906i | −1.48709 | + | 0.458708i | ||||
\(195\) | 1.23544 | 0.0884719 | ||||||||
\(196\) | 2.38545 | − | 2.74759i | 0.170389 | − | 0.196256i | ||||
\(197\) | 6.34028 | 0.451726 | 0.225863 | − | 0.974159i | \(-0.427480\pi\) | ||||
0.225863 | + | 0.974159i | \(0.427480\pi\) | |||||||
\(198\) | 12.1940 | − | 3.76134i | 0.866588 | − | 0.267307i | ||||
\(199\) | −0.209997 | − | 0.535062i | −0.0148863 | − | 0.0379296i | 0.923237 | − | 0.384230i | \(-0.125533\pi\) |
−0.938124 | + | 0.346300i | \(0.887438\pi\) | |||||||
\(200\) | −4.39220 | + | 2.99455i | −0.310575 | + | 0.211747i | ||||
\(201\) | −3.48013 | − | 0.524545i | −0.245469 | − | 0.0369985i | ||||
\(202\) | −4.43467 | − | 5.56090i | −0.312023 | − | 0.391264i | ||||
\(203\) | 7.91866 | + | 12.1522i | 0.555781 | + | 0.852918i | ||||
\(204\) | 0.832426 | − | 1.04383i | 0.0582815 | − | 0.0730827i | ||||
\(205\) | 4.02175 | − | 3.73164i | 0.280891 | − | 0.260629i | ||||
\(206\) | −7.99668 | + | 1.20531i | −0.557155 | + | 0.0839776i | ||||
\(207\) | −7.90034 | − | 7.33044i | −0.549112 | − | 0.509501i | ||||
\(208\) | −2.03264 | − | 1.38583i | −0.140939 | − | 0.0960903i | ||||
\(209\) | 2.12970 | − | 9.33083i | 0.147315 | − | 0.645427i | ||||
\(210\) | −3.45583 | + | 2.63978i | −0.238475 | + | 0.182162i | ||||
\(211\) | 2.27232 | + | 9.95569i | 0.156433 | + | 0.685378i | 0.990932 | + | 0.134368i | \(0.0429003\pi\) |
−0.834499 | + | 0.551010i | \(0.814243\pi\) | |||||||
\(212\) | 1.45875 | − | 3.71682i | 0.100187 | − | 0.255272i | ||||
\(213\) | −0.229886 | + | 3.06762i | −0.0157516 | + | 0.210190i | ||||
\(214\) | 1.68850 | − | 2.92457i | 0.115424 | − | 0.199920i | ||||
\(215\) | 5.56832 | + | 9.64461i | 0.379756 | + | 0.657757i | ||||
\(216\) | −8.23808 | + | 3.96725i | −0.560531 | + | 0.269937i | ||||
\(217\) | −24.0932 | − | 10.0414i | −1.63555 | − | 0.681654i | ||||
\(218\) | −5.23641 | − | 2.52172i | −0.354654 | − | 0.170792i | ||||
\(219\) | 0.442310 | + | 5.90222i | 0.0298885 | + | 0.398835i | ||||
\(220\) | 4.95410 | + | 1.52814i | 0.334005 | + | 0.103027i | ||||
\(221\) | −4.31120 | − | 1.32983i | −0.290003 | − | 0.0894540i | ||||
\(222\) | 0.103829 | + | 1.38550i | 0.00696854 | + | 0.0929887i | ||||
\(223\) | 8.74931 | + | 4.21345i | 0.585897 | + | 0.282153i | 0.703256 | − | 0.710936i | \(-0.251729\pi\) |
−0.117359 | + | 0.993090i | \(0.537443\pi\) | |||||||
\(224\) | −7.55156 | + | 0.407549i | −0.504560 | + | 0.0272305i | ||||
\(225\) | 4.26341 | − | 2.05315i | 0.284227 | − | 0.136877i | ||||
\(226\) | −6.96141 | − | 12.0575i | −0.463066 | − | 0.802054i | ||||
\(227\) | 2.73150 | − | 4.73109i | 0.181296 | − | 0.314014i | −0.761026 | − | 0.648721i | \(-0.775304\pi\) |
0.942322 | + | 0.334708i | \(0.108638\pi\) | |||||||
\(228\) | −0.0503585 | + | 0.671988i | −0.00333508 | + | 0.0445035i | ||||
\(229\) | 3.84455 | − | 9.79574i | 0.254055 | − | 0.647321i | −0.745767 | − | 0.666207i | \(-0.767917\pi\) |
0.999822 | + | 0.0188861i | \(0.00601198\pi\) | |||||||
\(230\) | 2.77447 | + | 12.1558i | 0.182943 | + | 0.801527i | ||||
\(231\) | 5.13558 | + | 1.28556i | 0.337897 | + | 0.0845833i | ||||
\(232\) | 3.73983 | − | 16.3853i | 0.245532 | − | 1.07575i | ||||
\(233\) | 16.0586 | + | 10.9486i | 1.05203 | + | 0.717265i | 0.960428 | − | 0.278530i | \(-0.0898472\pi\) |
0.0916072 | + | 0.995795i | \(0.470800\pi\) | |||||||
\(234\) | 2.22569 | + | 2.06514i | 0.145498 | + | 0.135002i | ||||
\(235\) | 14.6765 | − | 2.21213i | 0.957390 | − | 0.144303i | ||||
\(236\) | −3.69652 | + | 3.42987i | −0.240623 | + | 0.223266i | ||||
\(237\) | −1.91922 | + | 2.40663i | −0.124667 | + | 0.156327i | ||||
\(238\) | 14.9009 | − | 5.49193i | 0.965882 | − | 0.355989i | ||||
\(239\) | −3.66524 | − | 4.59606i | −0.237084 | − | 0.297294i | 0.649028 | − | 0.760764i | \(-0.275176\pi\) |
−0.886113 | + | 0.463470i | \(0.846604\pi\) | |||||||
\(240\) | 3.59382 | + | 0.541681i | 0.231980 | + | 0.0349654i | ||||
\(241\) | 0.619920 | − | 0.422655i | 0.0399326 | − | 0.0272256i | −0.543189 | − | 0.839610i | \(-0.682783\pi\) |
0.583122 | + | 0.812385i | \(0.301831\pi\) | |||||||
\(242\) | 1.67674 | + | 4.27226i | 0.107785 | + | 0.274631i | ||||
\(243\) | 11.8505 | − | 3.65541i | 0.760213 | − | 0.234495i | ||||
\(244\) | −7.51865 | −0.481332 | ||||||||
\(245\) | 18.0595 | − | 1.95499i | 1.15378 | − | 0.124900i | ||||
\(246\) | −1.33911 | −0.0853787 | ||||||||
\(247\) | 2.17600 | − | 0.671208i | 0.138456 | − | 0.0427080i | ||||
\(248\) | 11.0496 | + | 28.1540i | 0.701653 | + | 1.78778i | ||||
\(249\) | 1.16905 | − | 0.797043i | 0.0740854 | − | 0.0505105i | ||||
\(250\) | 10.1961 | + | 1.53681i | 0.644858 | + | 0.0971967i | ||||
\(251\) | −9.07312 | − | 11.3773i | −0.572690 | − | 0.718131i | 0.408157 | − | 0.912912i | \(-0.366172\pi\) |
−0.980847 | + | 0.194781i | \(0.937600\pi\) | |||||||
\(252\) | 3.73590 | + | 0.358557i | 0.235340 | + | 0.0225870i | ||||
\(253\) | 9.46383 | − | 11.8673i | 0.594986 | − | 0.746089i | ||||
\(254\) | −4.56109 | + | 4.23207i | −0.286188 | + | 0.265544i | ||||
\(255\) | 6.59076 | − | 0.993397i | 0.412729 | − | 0.0622089i | ||||
\(256\) | 8.47379 | + | 7.86252i | 0.529612 | + | 0.491408i | ||||
\(257\) | −10.7167 | − | 7.30653i | −0.668490 | − | 0.455769i | 0.180923 | − | 0.983497i | \(-0.442091\pi\) |
−0.849413 | + | 0.527729i | \(0.823044\pi\) | |||||||
\(258\) | 0.604870 | − | 2.65011i | 0.0376575 | − | 0.164988i | ||||
\(259\) | 2.62673 | − | 5.17515i | 0.163217 | − | 0.321568i | ||||
\(260\) | 0.274485 | + | 1.20260i | 0.0170229 | + | 0.0745821i | ||||
\(261\) | −5.46576 | + | 13.9265i | −0.338322 | + | 0.862031i | ||||
\(262\) | −0.178714 | + | 2.38477i | −0.0110410 | + | 0.147332i | ||||
\(263\) | −10.0942 | + | 17.4837i | −0.622435 | + | 1.07809i | 0.366596 | + | 0.930380i | \(0.380523\pi\) |
−0.989031 | + | 0.147709i | \(0.952810\pi\) | |||||||
\(264\) | −3.06715 | − | 5.31245i | −0.188770 | − | 0.326959i | ||||
\(265\) | 17.9592 | − | 8.64871i | 1.10323 | − | 0.531286i | ||||
\(266\) | −4.65262 | + | 6.52701i | −0.285270 | + | 0.400197i | ||||
\(267\) | −0.456400 | − | 0.219790i | −0.0279312 | − | 0.0134510i | ||||
\(268\) | −0.262600 | − | 3.50415i | −0.0160408 | − | 0.214050i | ||||
\(269\) | −14.0727 | − | 4.34084i | −0.858025 | − | 0.264666i | −0.165633 | − | 0.986187i | \(-0.552967\pi\) |
−0.692392 | + | 0.721522i | \(0.743443\pi\) | |||||||
\(270\) | −8.99809 | − | 2.77554i | −0.547606 | − | 0.168914i | ||||
\(271\) | −0.00103063 | − | 0.0137528i | −6.26065e−5 | − | 0.000835426i | 0.997172 | − | 0.0751478i | \(-0.0239429\pi\) |
−0.997235 | + | 0.0743124i | \(0.976324\pi\) | |||||||
\(272\) | −11.9579 | − | 5.75864i | −0.725056 | − | 0.349169i | ||||
\(273\) | 0.346061 | + | 1.21114i | 0.0209445 | + | 0.0733013i | ||||
\(274\) | 8.30328 | − | 3.99865i | 0.501619 | − | 0.241567i | ||||
\(275\) | 3.33230 | + | 5.77171i | 0.200945 | + | 0.348047i | ||||
\(276\) | −0.534364 | + | 0.925546i | −0.0321649 | + | 0.0557113i | ||||
\(277\) | −1.98896 | + | 26.5408i | −0.119505 | + | 1.59468i | 0.539132 | + | 0.842221i | \(0.318752\pi\) |
−0.658637 | + | 0.752461i | \(0.728867\pi\) | |||||||
\(278\) | −0.632739 | + | 1.61219i | −0.0379492 | + | 0.0966929i | ||||
\(279\) | −5.99090 | − | 26.2478i | −0.358666 | − | 1.57142i | ||||
\(280\) | −16.1784 | − | 13.4640i | −0.966845 | − | 0.804629i | ||||
\(281\) | −2.24564 | + | 9.83877i | −0.133963 | + | 0.586932i | 0.862729 | + | 0.505666i | \(0.168753\pi\) |
−0.996692 | + | 0.0812655i | \(0.974104\pi\) | |||||||
\(282\) | −2.99325 | − | 2.04076i | −0.178246 | − | 0.121526i | ||||
\(283\) | 6.03607 | + | 5.60066i | 0.358807 | + | 0.332925i | 0.838892 | − | 0.544297i | \(-0.183204\pi\) |
−0.480085 | + | 0.877222i | \(0.659394\pi\) | |||||||
\(284\) | −3.03714 | + | 0.457776i | −0.180221 | + | 0.0271640i | ||||
\(285\) | −2.46609 | + | 2.28820i | −0.146079 | + | 0.135541i | ||||
\(286\) | −2.66615 | + | 3.34325i | −0.157653 | + | 0.197691i | ||||
\(287\) | 4.78475 | + | 2.89735i | 0.282435 | + | 0.171025i | ||||
\(288\) | −4.86347 | − | 6.09860i | −0.286583 | − | 0.359363i | ||||
\(289\) | −7.25826 | − | 1.09401i | −0.426957 | − | 0.0643534i | ||||
\(290\) | 14.3007 | − | 9.75003i | 0.839764 | − | 0.572542i | ||||
\(291\) | −3.38866 | − | 8.63417i | −0.198647 | − | 0.506144i | ||||
\(292\) | −5.64704 | + | 1.74188i | −0.330468 | + | 0.101936i | ||||
\(293\) | −1.99806 | −0.116728 | −0.0583639 | − | 0.998295i | \(-0.518588\pi\) | ||||
−0.0583639 | + | 0.998295i | \(0.518588\pi\) | |||||||
\(294\) | −3.55586 | − | 2.64841i | −0.207382 | − | 0.154458i | ||||
\(295\) | −25.1742 | −1.46570 | ||||||||
\(296\) | −6.42598 | + | 1.98215i | −0.373502 | + | 0.115210i | ||||
\(297\) | 4.18806 | + | 10.6710i | 0.243016 | + | 0.619194i | ||||
\(298\) | −3.54905 | + | 2.41970i | −0.205591 | + | 0.140170i | ||||
\(299\) | 3.57115 | + | 0.538264i | 0.206525 | + | 0.0311286i | ||||
\(300\) | −0.292572 | − | 0.366874i | −0.0168917 | − | 0.0211815i | ||||
\(301\) | −7.89511 | + | 8.16032i | −0.455067 | + | 0.470353i | ||||
\(302\) | 16.4810 | − | 20.6665i | 0.948374 | − | 1.18922i | ||||
\(303\) | 2.23111 | − | 2.07017i | 0.128174 | − | 0.118928i | ||||
\(304\) | 6.62414 | − | 0.998428i | 0.379920 | − | 0.0572638i | ||||
\(305\) | −27.5151 | − | 25.5303i | −1.57551 | − | 1.46186i | ||||
\(306\) | 13.5340 | + | 9.22731i | 0.773686 | + | 0.527490i | ||||
\(307\) | −1.06545 | + | 4.66805i | −0.0608086 | + | 0.266420i | −0.996189 | − | 0.0872242i | \(-0.972200\pi\) |
0.935380 | + | 0.353644i | \(0.115058\pi\) | |||||||
\(308\) | −0.110377 | + | 5.28467i | −0.00628933 | + | 0.301122i | ||||
\(309\) | −0.770040 | − | 3.37377i | −0.0438060 | − | 0.191927i | ||||
\(310\) | −11.3794 | + | 28.9941i | −0.646304 | + | 1.64676i | ||||
\(311\) | 2.18646 | − | 29.1763i | 0.123983 | − | 1.65443i | −0.494900 | − | 0.868950i | \(-0.664795\pi\) |
0.618883 | − | 0.785484i | \(-0.287586\pi\) | |||||||
\(312\) | 0.729764 | − | 1.26399i | 0.0413148 | − | 0.0715593i | ||||
\(313\) | 4.32219 | + | 7.48625i | 0.244305 | + | 0.423148i | 0.961936 | − | 0.273275i | \(-0.0881070\pi\) |
−0.717631 | + | 0.696423i | \(0.754774\pi\) | |||||||
\(314\) | −20.2969 | + | 9.77446i | −1.14542 | + | 0.551605i | ||||
\(315\) | 12.4543 | + | 13.9978i | 0.701722 | + | 0.788686i | ||||
\(316\) | −2.76906 | − | 1.33351i | −0.155772 | − | 0.0750157i | ||||
\(317\) | 0.113064 | + | 1.50873i | 0.00635031 | + | 0.0847390i | 0.999478 | − | 0.0322931i | \(-0.0102810\pi\) |
−0.993128 | + | 0.117032i | \(0.962662\pi\) | |||||||
\(318\) | −4.64921 | − | 1.43409i | −0.260714 | − | 0.0804198i | ||||
\(319\) | −20.1346 | − | 6.21069i | −1.12732 | − | 0.347732i | ||||
\(320\) | 1.71778 | + | 22.9222i | 0.0960267 | + | 1.28139i | ||||
\(321\) | 1.30195 | + | 0.626988i | 0.0726680 | + | 0.0349951i | ||||
\(322\) | −11.1394 | + | 6.12484i | −0.620777 | + | 0.341324i | ||||
\(323\) | 11.0687 | − | 5.33040i | 0.615878 | − | 0.296591i | ||||
\(324\) | 1.72422 | + | 2.98644i | 0.0957902 | + | 0.165914i | ||||
\(325\) | −0.792852 | + | 1.37326i | −0.0439795 | + | 0.0761747i | ||||
\(326\) | 0.749591 | − | 10.0026i | 0.0415160 | − | 0.553993i | ||||
\(327\) | 0.908608 | − | 2.31509i | 0.0502461 | − | 0.128025i | ||||
\(328\) | −1.44225 | − | 6.31891i | −0.0796349 | − | 0.348903i | ||||
\(329\) | 6.27965 | + | 13.7681i | 0.346208 | + | 0.759061i | ||||
\(330\) | 1.40574 | − | 6.15895i | 0.0773835 | − | 0.339039i | ||||
\(331\) | −22.0135 | − | 15.0086i | −1.20997 | − | 0.824946i | −0.221326 | − | 0.975200i | \(-0.571039\pi\) |
−0.988648 | + | 0.150253i | \(0.951991\pi\) | |||||||
\(332\) | 1.03559 | + | 0.960885i | 0.0568353 | + | 0.0527354i | ||||
\(333\) | 5.91928 | − | 0.892187i | 0.324374 | − | 0.0488916i | ||||
\(334\) | −1.62627 | + | 1.50896i | −0.0889857 | + | 0.0825667i | ||||
\(335\) | 10.9377 | − | 13.7154i | 0.597589 | − | 0.749353i | ||||
\(336\) | 0.475643 | + | 3.67485i | 0.0259484 | + | 0.200479i | ||||
\(337\) | 13.5398 | + | 16.9784i | 0.737562 | + | 0.924874i | 0.999188 | − | 0.0402957i | \(-0.0128300\pi\) |
−0.261626 | + | 0.965169i | \(0.584259\pi\) | |||||||
\(338\) | 14.6335 | + | 2.20565i | 0.795958 | + | 0.119971i | ||||
\(339\) | 4.92252 | − | 3.35612i | 0.267354 | − | 0.182279i | ||||
\(340\) | 2.43129 | + | 6.19483i | 0.131855 | + | 0.335962i | ||||
\(341\) | 36.2336 | − | 11.1766i | 1.96216 | − | 0.605246i | ||||
\(342\) | −8.26763 | −0.447062 | ||||||||
\(343\) | 6.97517 | + | 17.1565i | 0.376624 | + | 0.926366i | ||||
\(344\) | 13.1566 | 0.709356 | ||||||||
\(345\) | −5.09833 | + | 1.57263i | −0.274485 | + | 0.0846674i | ||||
\(346\) | −8.08406 | − | 20.5979i | −0.434602 | − | 1.10735i | ||||
\(347\) | 10.6605 | − | 7.26823i | 0.572287 | − | 0.390179i | −0.242316 | − | 0.970197i | \(-0.577907\pi\) |
0.814603 | + | 0.580019i | \(0.196955\pi\) | |||||||
\(348\) | 1.46700 | + | 0.221115i | 0.0786395 | + | 0.0118530i | ||||
\(349\) | 12.4661 | + | 15.6320i | 0.667294 | + | 0.836760i | 0.994115 | − | 0.108326i | \(-0.0345490\pi\) |
−0.326822 | + | 0.945086i | \(0.605978\pi\) | |||||||
\(350\) | −0.716461 | − | 5.53542i | −0.0382964 | − | 0.295881i | ||||
\(351\) | −1.70056 | + | 2.13243i | −0.0907691 | + | 0.113821i | ||||
\(352\) | 8.05337 | − | 7.47244i | 0.429246 | − | 0.398282i | ||||
\(353\) | 11.4941 | − | 1.73246i | 0.611770 | − | 0.0922095i | 0.164153 | − | 0.986435i | \(-0.447511\pi\) |
0.447617 | + | 0.894225i | \(0.352273\pi\) | |||||||
\(354\) | 4.50430 | + | 4.17938i | 0.239401 | + | 0.222131i | ||||
\(355\) | −12.6691 | − | 8.63765i | −0.672406 | − | 0.458439i | ||||
\(356\) | 0.112547 | − | 0.493099i | 0.00596495 | − | 0.0261342i | ||||
\(357\) | 2.81999 | + | 6.18283i | 0.149250 | + | 0.327230i | ||||
\(358\) | 4.38147 | + | 19.1965i | 0.231568 | + | 1.01456i | ||||
\(359\) | 4.92617 | − | 12.5517i | 0.259993 | − | 0.662452i | −0.739954 | − | 0.672657i | \(-0.765153\pi\) |
0.999948 | + | 0.0102045i | \(0.00324823\pi\) | |||||||
\(360\) | 1.62239 | − | 21.6493i | 0.0855077 | − | 1.14102i | ||||
\(361\) | 6.39960 | − | 11.0844i | 0.336821 | − | 0.583391i | ||||
\(362\) | 9.56188 | + | 16.5617i | 0.502561 | + | 0.870461i | ||||
\(363\) | −1.76942 | + | 0.852108i | −0.0928705 | + | 0.0447241i | ||||
\(364\) | −1.10205 | + | 0.605946i | −0.0577633 | + | 0.0317602i | ||||
\(365\) | −26.5805 | − | 12.8005i | −1.39129 | − | 0.670009i | ||||
\(366\) | 0.684651 | + | 9.13603i | 0.0357873 | + | 0.477548i | ||||
\(367\) | 7.58065 | + | 2.33832i | 0.395707 | + | 0.122059i | 0.486221 | − | 0.873836i | \(-0.338375\pi\) |
−0.0905144 | + | 0.995895i | \(0.528851\pi\) | |||||||
\(368\) | 10.1522 | + | 3.13155i | 0.529221 | + | 0.163243i | ||||
\(369\) | 0.431158 | + | 5.75340i | 0.0224452 | + | 0.299510i | ||||
\(370\) | −6.23957 | − | 3.00482i | −0.324380 | − | 0.156213i | ||||
\(371\) | 13.5091 | + | 15.1833i | 0.701359 | + | 0.788278i | ||||
\(372\) | −2.40540 | + | 1.15838i | −0.124714 | + | 0.0600591i | ||||
\(373\) | −1.88038 | − | 3.25691i | −0.0973623 | − | 0.168636i | 0.813230 | − | 0.581943i | \(-0.197707\pi\) |
−0.910592 | + | 0.413306i | \(0.864374\pi\) | |||||||
\(374\) | −11.5350 | + | 19.9791i | −0.596459 | + | 1.03310i | ||||
\(375\) | −0.329733 | + | 4.39998i | −0.0170273 | + | 0.227214i | ||||
\(376\) | 6.40603 | − | 16.3223i | 0.330366 | − | 0.841758i | ||||
\(377\) | −1.11557 | − | 4.88764i | −0.0574549 | − | 0.251726i | ||||
\(378\) | 0.200477 | − | 9.59851i | 0.0103114 | − | 0.493694i | ||||
\(379\) | 0.198177 | − | 0.868269i | 0.0101797 | − | 0.0446000i | −0.969583 | − | 0.244763i | \(-0.921290\pi\) |
0.979763 | + | 0.200163i | \(0.0641471\pi\) | |||||||
\(380\) | −2.77527 | − | 1.89215i | −0.142368 | − | 0.0970652i | ||||
\(381\) | −1.95174 | − | 1.81095i | −0.0999909 | − | 0.0927780i | ||||
\(382\) | −23.0627 | + | 3.47614i | −1.17999 | + | 0.177855i | ||||
\(383\) | 11.4045 | − | 10.5819i | 0.582744 | − | 0.540708i | −0.332762 | − | 0.943011i | \(-0.607981\pi\) |
0.915507 | + | 0.402303i | \(0.131790\pi\) | |||||||
\(384\) | 1.64251 | − | 2.05964i | 0.0838190 | − | 0.105106i | ||||
\(385\) | −18.3486 | + | 18.9649i | −0.935129 | + | 0.966541i | ||||
\(386\) | −10.4137 | − | 13.0584i | −0.530043 | − | 0.664653i | ||||
\(387\) | −11.5808 | − | 1.74552i | −0.588683 | − | 0.0887297i | ||||
\(388\) | 7.65175 | − | 5.21688i | 0.388459 | − | 0.264847i | ||||
\(389\) | 2.78619 | + | 7.09910i | 0.141266 | + | 0.359939i | 0.983944 | − | 0.178479i | \(-0.0571176\pi\) |
−0.842678 | + | 0.538418i | \(0.819022\pi\) | |||||||
\(390\) | 1.43630 | − | 0.443041i | 0.0727300 | − | 0.0224342i | ||||
\(391\) | 19.4839 | 0.985343 | ||||||||
\(392\) | 8.66738 | − | 19.6315i | 0.437769 | − | 0.991542i | ||||
\(393\) | −1.02333 | −0.0516203 | ||||||||
\(394\) | 7.37109 | − | 2.27368i | 0.371350 | − | 0.114546i | ||||
\(395\) | −5.60554 | − | 14.2827i | −0.282045 | − | 0.718640i | ||||
\(396\) | −4.50471 | + | 3.07126i | −0.226370 | + | 0.154337i | ||||
\(397\) | −21.7184 | − | 3.27352i | −1.09002 | − | 0.164293i | −0.420647 | − | 0.907224i | \(-0.638197\pi\) |
−0.669368 | + | 0.742931i | \(0.733435\pi\) | |||||||
\(398\) | −0.436016 | − | 0.546747i | −0.0218555 | − | 0.0274060i | ||||
\(399\) | −2.93396 | − | 1.77662i | −0.146882 | − | 0.0889425i | ||||
\(400\) | −2.90846 | + | 3.64709i | −0.145423 | + | 0.182355i | ||||
\(401\) | −20.3860 | + | 18.9154i | −1.01803 | + | 0.944592i | −0.998474 | − | 0.0552164i | \(-0.982415\pi\) |
−0.0195541 | + | 0.999809i | \(0.506225\pi\) | |||||||
\(402\) | −4.23404 | + | 0.638178i | −0.211175 | + | 0.0318294i | ||||
\(403\) | 6.61348 | + | 6.13641i | 0.329441 | + | 0.305676i | ||||
\(404\) | 2.51083 | + | 1.71186i | 0.124919 | + | 0.0851681i | ||||
\(405\) | −3.83082 | + | 16.7839i | −0.190355 | + | 0.833999i | ||||
\(406\) | 13.5640 | + | 11.2882i | 0.673169 | + | 0.560225i | ||||
\(407\) | 1.87605 | + | 8.21950i | 0.0929923 | + | 0.407426i | ||||
\(408\) | 2.87675 | − | 7.32983i | 0.142420 | − | 0.362881i | ||||
\(409\) | −1.56341 | + | 20.8622i | −0.0773055 | + | 1.03157i | 0.814800 | + | 0.579743i | \(0.196847\pi\) |
−0.892105 | + | 0.451828i | \(0.850772\pi\) | |||||||
\(410\) | 3.33741 | − | 5.78056i | 0.164823 | − | 0.285482i | ||||
\(411\) | 1.97181 | + | 3.41527i | 0.0972621 | + | 0.168463i | ||||
\(412\) | 3.11299 | − | 1.49914i | 0.153366 | − | 0.0738572i | ||||
\(413\) | −7.05155 | − | 24.6789i | −0.346984 | − | 1.21437i | ||||
\(414\) | −11.8136 | − | 5.68911i | −0.580604 | − | 0.279604i | ||||
\(415\) | 0.527041 | + | 7.03288i | 0.0258714 | + | 0.345230i | ||||
\(416\) | 2.49778 | + | 0.770464i | 0.122464 | + | 0.0377751i | ||||
\(417\) | −0.708181 | − | 0.218445i | −0.0346798 | − | 0.0106973i | ||||
\(418\) | −0.870168 | − | 11.6116i | −0.0425613 | − | 0.567941i | ||||
\(419\) | −6.00236 | − | 2.89058i | −0.293234 | − | 0.141214i | 0.281483 | − | 0.959566i | \(-0.409174\pi\) |
−0.574717 | + | 0.818352i | \(0.694888\pi\) | |||||||
\(420\) | 1.07846 | − | 1.51294i | 0.0526235 | − | 0.0738239i | ||||
\(421\) | −7.69800 | + | 3.70716i | −0.375177 | + | 0.180676i | −0.611964 | − | 0.790886i | \(-0.709620\pi\) |
0.236786 | + | 0.971562i | \(0.423906\pi\) | |||||||
\(422\) | 6.21196 | + | 10.7594i | 0.302393 | + | 0.523760i | ||||
\(423\) | −7.80426 | + | 13.5174i | −0.379456 | + | 0.657237i | ||||
\(424\) | 1.75980 | − | 23.4829i | 0.0854634 | − | 1.14043i | ||||
\(425\) | −3.12544 | + | 7.96348i | −0.151606 | + | 0.386286i | ||||
\(426\) | 0.832814 | + | 3.64880i | 0.0403500 | + | 0.176785i | ||||
\(427\) | 17.3207 | − | 34.1251i | 0.838209 | − | 1.65143i | ||||
\(428\) | −0.321057 | + | 1.40664i | −0.0155189 | + | 0.0679927i | ||||
\(429\) | −1.51188 | − | 1.03078i | −0.0729940 | − | 0.0497665i | ||||
\(430\) | 9.93226 | + | 9.21579i | 0.478976 | + | 0.444425i | ||||
\(431\) | 4.07283 | − | 0.613880i | 0.196181 | − | 0.0295696i | −0.0502165 | − | 0.998738i | \(-0.515991\pi\) |
0.246398 | + | 0.969169i | \(0.420753\pi\) | |||||||
\(432\) | −5.88178 | + | 5.45749i | −0.282987 | + | 0.262574i | ||||
\(433\) | 2.50195 | − | 3.13735i | 0.120236 | − | 0.150771i | −0.718071 | − | 0.695970i | \(-0.754975\pi\) |
0.838307 | + | 0.545199i | \(0.183546\pi\) | |||||||
\(434\) | −31.6112 | − | 3.03392i | −1.51739 | − | 0.145633i | ||||
\(435\) | 4.61779 | + | 5.79053i | 0.221406 | + | 0.277635i | ||||
\(436\) | 2.45542 | + | 0.370095i | 0.117593 | + | 0.0177243i | ||||
\(437\) | −8.12536 | + | 5.53978i | −0.388689 | + | 0.265003i | ||||
\(438\) | 2.63081 | + | 6.70319i | 0.125705 | + | 0.320291i | ||||
\(439\) | −9.88589 | + | 3.04939i | −0.471828 | + | 0.145540i | −0.521545 | − | 0.853224i | \(-0.674644\pi\) |
0.0497173 | + | 0.998763i | \(0.484168\pi\) | |||||||
\(440\) | 30.5765 | 1.45768 | ||||||||
\(441\) | −10.2338 | + | 16.1302i | −0.487324 | + | 0.768106i | ||||
\(442\) | −5.48901 | −0.261086 | ||||||||
\(443\) | −21.0194 | + | 6.48363i | −0.998663 | + | 0.308047i | −0.750643 | − | 0.660708i | \(-0.770256\pi\) |
−0.248020 | + | 0.968755i | \(0.579780\pi\) | |||||||
\(444\) | −0.216871 | − | 0.552578i | −0.0102922 | − | 0.0262242i | ||||
\(445\) | 2.08624 | − | 1.42237i | 0.0988971 | − | 0.0674269i | ||||
\(446\) | 11.6828 | + | 1.76089i | 0.553195 | + | 0.0833807i | ||||
\(447\) | −1.14602 | − | 1.43706i | −0.0542047 | − | 0.0679705i | ||||
\(448\) | −21.9900 | + | 8.10472i | −1.03893 | + | 0.382912i | ||||
\(449\) | 9.86078 | − | 12.3650i | 0.465359 | − | 0.583542i | −0.492669 | − | 0.870217i | \(-0.663979\pi\) |
0.958028 | + | 0.286675i | \(0.0925500\pi\) | |||||||
\(450\) | 4.22029 | − | 3.91585i | 0.198946 | − | 0.184595i | ||||
\(451\) | −8.03507 | + | 1.21109i | −0.378357 | + | 0.0570281i | ||||
\(452\) | 4.36056 | + | 4.04601i | 0.205103 | + | 0.190308i | ||||
\(453\) | 9.34574 | + | 6.37182i | 0.439101 | + | 0.299374i | ||||
\(454\) | 1.47898 | − | 6.47982i | 0.0694118 | − | 0.304113i | ||||
\(455\) | −6.09060 | − | 1.52462i | −0.285532 | − | 0.0714752i | ||||
\(456\) | 0.884372 | + | 3.87469i | 0.0414145 | + | 0.181449i | ||||
\(457\) | 8.89905 | − | 22.6744i | 0.416280 | − | 1.06066i | −0.556892 | − | 0.830585i | \(-0.688006\pi\) |
0.973172 | − | 0.230079i | \(-0.0738985\pi\) | |||||||
\(458\) | 0.956757 | − | 12.7670i | 0.0447063 | − | 0.596564i | ||||
\(459\) | −7.35737 | + | 12.7433i | −0.343413 | + | 0.594808i | ||||
\(460\) | −2.66354 | − | 4.61339i | −0.124188 | − | 0.215101i | ||||
\(461\) | −33.7497 | + | 16.2530i | −1.57188 | + | 0.756977i | −0.998075 | − | 0.0620160i | \(-0.980247\pi\) |
−0.573804 | + | 0.818993i | \(0.694533\pi\) | |||||||
\(462\) | 6.43154 | − | 0.347103i | 0.299223 | − | 0.0161487i | ||||
\(463\) | 4.28940 | + | 2.06567i | 0.199345 | + | 0.0959997i | 0.530893 | − | 0.847439i | \(-0.321857\pi\) |
−0.331548 | + | 0.943438i | \(0.607571\pi\) | |||||||
\(464\) | −1.10213 | − | 14.7069i | −0.0511652 | − | 0.682752i | ||||
\(465\) | −12.7361 | − | 3.92858i | −0.590624 | − | 0.182183i | ||||
\(466\) | 22.5957 | + | 6.96985i | 1.04673 | + | 0.322872i | ||||
\(467\) | −2.28896 | − | 30.5440i | −0.105920 | − | 1.41341i | −0.756511 | − | 0.653981i | \(-0.773098\pi\) |
0.650591 | − | 0.759429i | \(-0.274521\pi\) | |||||||
\(468\) | −1.16874 | − | 0.562837i | −0.0540252 | − | 0.0260172i | ||||
\(469\) | 16.5093 | + | 6.88065i | 0.762330 | + | 0.317719i | ||||
\(470\) | 16.2693 | − | 7.83490i | 0.750449 | − | 0.361397i | ||||
\(471\) | −4.81996 | − | 8.34842i | −0.222092 | − | 0.384675i | ||||
\(472\) | −14.8701 | + | 25.7558i | −0.684454 | + | 1.18551i | ||||
\(473\) | 1.23264 | − | 16.4485i | 0.0566769 | − | 0.756301i | ||||
\(474\) | −1.36822 | + | 3.48616i | −0.0628442 | + | 0.160124i | ||||
\(475\) | −0.960825 | − | 4.20965i | −0.0440857 | − | 0.193152i | ||||
\(476\) | −5.39193 | + | 4.11870i | −0.247138 | + | 0.188780i | ||||
\(477\) | −4.66455 | + | 20.4367i | −0.213575 | + | 0.935734i | ||||
\(478\) | −5.90932 | − | 4.02891i | −0.270286 | − | 0.184278i | ||||
\(479\) | 24.0140 | + | 22.2817i | 1.09723 | + | 1.01808i | 0.999739 | + | 0.0228415i | \(0.00727130\pi\) |
0.0974882 | + | 0.995237i | \(0.468919\pi\) | |||||||
\(480\) | −3.81849 | + | 0.575545i | −0.174289 | + | 0.0262699i | ||||
\(481\) | −1.47047 | + | 1.36440i | −0.0670476 | + | 0.0622111i | ||||
\(482\) | 0.569140 | − | 0.713679i | 0.0259236 | − | 0.0325072i | ||||
\(483\) | −2.96978 | − | 4.55751i | −0.135130 | − | 0.207374i | ||||
\(484\) | −1.22258 | − | 1.53306i | −0.0555717 | − | 0.0696847i | ||||
\(485\) | 45.7166 | + | 6.89068i | 2.07589 | + | 0.312889i | ||||
\(486\) | 12.4664 | − | 8.49942i | 0.565485 | − | 0.385541i | ||||
\(487\) | 5.11846 | + | 13.0416i | 0.231940 | + | 0.590972i | 0.998701 | − | 0.0509602i | \(-0.0162282\pi\) |
−0.766761 | + | 0.641933i | \(0.778133\pi\) | |||||||
\(488\) | −42.3731 | + | 13.0704i | −1.91814 | + | 0.591668i | ||||
\(489\) | 4.29224 | 0.194102 | ||||||||
\(490\) | 20.2945 | − | 8.74912i | 0.916813 | − | 0.395245i | ||||
\(491\) | −12.5524 | −0.566481 | −0.283240 | − | 0.959049i | \(-0.591409\pi\) | ||||
−0.283240 | + | 0.959049i | \(0.591409\pi\) | |||||||
\(492\) | 0.546715 | − | 0.168639i | 0.0246478 | − | 0.00760284i | ||||
\(493\) | −9.88133 | − | 25.1772i | −0.445033 | − | 1.13393i | ||||
\(494\) | 2.28908 | − | 1.56067i | 0.102991 | − | 0.0702178i | ||||
\(495\) | −26.9141 | − | 4.05665i | −1.20970 | − | 0.182333i | ||||
\(496\) | 16.5477 | + | 20.7501i | 0.743012 | + | 0.931707i | ||||
\(497\) | 4.91896 | − | 14.8393i | 0.220646 | − | 0.665636i | ||||
\(498\) | 1.07329 | − | 1.34586i | 0.0480951 | − | 0.0603093i | ||||
\(499\) | 9.74794 | − | 9.04477i | 0.436378 | − | 0.404899i | −0.431156 | − | 0.902277i | \(-0.641894\pi\) |
0.867534 | + | 0.497378i | \(0.165704\pi\) | |||||||
\(500\) | −4.35626 | + | 0.656601i | −0.194818 | + | 0.0293641i | ||||
\(501\) | −0.695902 | − | 0.645703i | −0.0310906 | − | 0.0288479i | ||||
\(502\) | −14.6282 | − | 9.97337i | −0.652891 | − | 0.445133i | ||||
\(503\) | −6.18450 | + | 27.0960i | −0.275753 | + | 1.20815i | 0.627353 | + | 0.778735i | \(0.284138\pi\) |
−0.903106 | + | 0.429418i | \(0.858719\pi\) | |||||||
\(504\) | 21.6779 | − | 4.47373i | 0.965608 | − | 0.199276i | ||||
\(505\) | 3.37583 | + | 14.7905i | 0.150222 | + | 0.658167i | ||||
\(506\) | 6.74677 | − | 17.1905i | 0.299930 | − | 0.764210i | ||||
\(507\) | −0.473235 | + | 6.31488i | −0.0210171 | + | 0.280454i | ||||
\(508\) | 1.32918 | − | 2.30221i | 0.0589728 | − | 0.102144i | ||||
\(509\) | −9.91517 | − | 17.1736i | −0.439482 | − | 0.761206i | 0.558167 | − | 0.829728i | \(-0.311505\pi\) |
−0.997650 | + | 0.0685228i | \(0.978171\pi\) | |||||||
\(510\) | 7.30605 | − | 3.51841i | 0.323517 | − | 0.155798i | ||||
\(511\) | 5.10318 | − | 29.6431i | 0.225752 | − | 1.31133i | ||||
\(512\) | 21.7891 | + | 10.4931i | 0.962953 | + | 0.463734i | ||||
\(513\) | −0.555021 | − | 7.40624i | −0.0245048 | − | 0.326993i | ||||
\(514\) | −15.0792 | − | 4.65133i | −0.665116 | − | 0.205161i | ||||
\(515\) | 16.4827 | + | 5.08424i | 0.726315 | + | 0.224039i | ||||
\(516\) | 0.0867894 | + | 1.15812i | 0.00382069 | + | 0.0509836i | ||||
\(517\) | −19.8061 | − | 9.53810i | −0.871069 | − | 0.419485i | ||||
\(518\) | 1.19793 | − | 6.95850i | 0.0526342 | − | 0.305739i | ||||
\(519\) | 8.53091 | − | 4.10827i | 0.374466 | − | 0.180333i | ||||
\(520\) | 3.63752 | + | 6.30037i | 0.159516 | + | 0.276289i | ||||
\(521\) | −11.5168 | + | 19.9477i | −0.504562 | + | 0.873926i | 0.495424 | + | 0.868651i | \(0.335013\pi\) |
−0.999986 | + | 0.00527539i | \(0.998321\pi\) | |||||||
\(522\) | −1.36021 | + | 18.1508i | −0.0595350 | + | 0.794439i | ||||
\(523\) | −12.1336 | + | 30.9159i | −0.530565 | + | 1.35186i | 0.374754 | + | 0.927124i | \(0.377727\pi\) |
−0.905319 | + | 0.424733i | \(0.860368\pi\) | |||||||
\(524\) | −0.227360 | − | 0.996128i | −0.00993226 | − | 0.0435161i | ||||
\(525\) | 2.33914 | − | 0.482736i | 0.102088 | − | 0.0210683i | ||||
\(526\) | −5.46553 | + | 23.9460i | −0.238308 | + | 1.04410i | ||||
\(527\) | 40.2153 | + | 27.4183i | 1.75181 | + | 1.19436i | ||||
\(528\) | −3.94600 | − | 3.66135i | −0.171727 | − | 0.159340i | ||||
\(529\) | 7.32082 | − | 1.10344i | 0.318297 | − | 0.0479755i | ||||
\(530\) | 17.7776 | − | 16.4952i | 0.772208 | − | 0.716504i | ||||
\(531\) | 16.5062 | − | 20.6981i | 0.716306 | − | 0.898219i | ||||
\(532\) | 1.07754 | − | 3.25068i | 0.0467173 | − | 0.140935i | ||||
\(533\) | −1.20544 | − | 1.51157i | −0.0522133 | − | 0.0654734i | ||||
\(534\) | −0.609421 | − | 0.0918554i | −0.0263722 | − | 0.00397497i | ||||
\(535\) | −5.95133 | + | 4.05755i | −0.257298 | + | 0.175423i | ||||
\(536\) | −7.57153 | − | 19.2919i | −0.327040 | − | 0.833285i | ||||
\(537\) | −8.05131 | + | 2.48350i | −0.347440 | + | 0.107171i | ||||
\(538\) | −17.9173 | −0.772468 | ||||||||
\(539\) | −23.7314 | − | 12.6753i | −1.02218 | − | 0.545964i | ||||
\(540\) | 4.02315 | 0.173129 | ||||||||
\(541\) | 34.3003 | − | 10.5802i | 1.47468 | − | 0.454880i | 0.549854 | − | 0.835261i | \(-0.314683\pi\) |
0.924830 | + | 0.380381i | \(0.124207\pi\) | |||||||
\(542\) | −0.00613009 | − | 0.0156192i | −0.000263310 | − | 0.000670902i | ||||
\(543\) | −6.76135 | + | 4.60981i | −0.290157 | + | 0.197826i | ||||
\(544\) | 13.9445 | + | 2.10180i | 0.597866 | + | 0.0901138i | ||||
\(545\) | 7.72912 | + | 9.69201i | 0.331079 | + | 0.415160i | ||||
\(546\) | 0.836648 | + | 1.28394i | 0.0358052 | + | 0.0549478i | ||||
\(547\) | 21.4053 | − | 26.8414i | 0.915224 | − | 1.14765i | −0.0734081 | − | 0.997302i | \(-0.523388\pi\) |
0.988632 | − | 0.150353i | \(-0.0480410\pi\) | |||||||
\(548\) | −2.88639 | + | 2.67818i | −0.123300 | + | 0.114406i | ||||
\(549\) | 39.0319 | − | 5.88311i | 1.66584 | − | 0.251085i | ||||
\(550\) | 5.94386 | + | 5.51509i | 0.253447 | + | 0.235164i | ||||
\(551\) | 11.2793 | + | 7.69013i | 0.480516 | + | 0.327610i | ||||
\(552\) | −1.40257 | + | 6.14506i | −0.0596974 | + | 0.261551i | ||||
\(553\) | 12.4315 | − | 9.49598i | 0.528642 | − | 0.403810i | ||||
\(554\) | 7.20544 | + | 31.5691i | 0.306130 | + | 1.34124i | ||||
\(555\) | 1.08267 | − | 2.75861i | 0.0459570 | − | 0.117097i | ||||
\(556\) | 0.0552970 | − | 0.737887i | 0.00234512 | − | 0.0312934i | ||||
\(557\) | −5.11905 | + | 8.86646i | −0.216901 | + | 0.375684i | −0.953859 | − | 0.300255i | \(-0.902928\pi\) |
0.736958 | + | 0.675939i | \(0.236262\pi\) | |||||||
\(558\) | −16.3776 | − | 28.3669i | −0.693320 | − | 1.20086i | ||||
\(559\) | 3.53589 | − | 1.70280i | 0.149552 | − | 0.0720206i | ||||
\(560\) | −17.0487 | − | 7.10544i | −0.720438 | − | 0.300260i | ||||
\(561\) | −8.89427 | − | 4.28326i | −0.375517 | − | 0.180839i | ||||
\(562\) | 0.917537 | + | 12.2437i | 0.0387040 | + | 0.516468i | ||||
\(563\) | −43.8496 | − | 13.5258i | −1.84804 | − | 0.570045i | −0.999139 | − | 0.0414937i | \(-0.986788\pi\) |
−0.848901 | − | 0.528551i | \(-0.822735\pi\) | |||||||
\(564\) | 1.47905 | + | 0.456225i | 0.0622791 | + | 0.0192105i | ||||
\(565\) | 2.21922 | + | 29.6134i | 0.0933632 | + | 1.24585i | ||||
\(566\) | 9.02587 | + | 4.34663i | 0.379386 | + | 0.182703i | ||||
\(567\) | −17.5268 | + | 0.945899i | −0.736054 | + | 0.0397240i | ||||
\(568\) | −16.3207 | + | 7.85965i | −0.684803 | + | 0.329784i | ||||
\(569\) | −3.51775 | − | 6.09291i | −0.147472 | − | 0.255428i | 0.782821 | − | 0.622247i | \(-0.213780\pi\) |
−0.930292 | + | 0.366819i | \(0.880447\pi\) | |||||||
\(570\) | −2.04646 | + | 3.54458i | −0.0857169 | + | 0.148466i | ||||
\(571\) | 1.05724 | − | 14.1079i | 0.0442442 | − | 0.590398i | −0.930387 | − | 0.366580i | \(-0.880529\pi\) |
0.974631 | − | 0.223818i | \(-0.0718523\pi\) | |||||||
\(572\) | 0.667474 | − | 1.70070i | 0.0279085 | − | 0.0711097i | ||||
\(573\) | −2.22082 | − | 9.73004i | −0.0927760 | − | 0.406478i | ||||
\(574\) | 6.60168 | + | 1.65255i | 0.275549 | + | 0.0689762i | ||||
\(575\) | 1.52382 | − | 6.67630i | 0.0635478 | − | 0.278421i | ||||
\(576\) | −19.9728 | − | 13.6172i | −0.832198 | − | 0.567383i | ||||
\(577\) | 20.6116 | + | 19.1248i | 0.858073 | + | 0.796175i | 0.980545 | − | 0.196297i | \(-0.0628916\pi\) |
−0.122472 | + | 0.992472i | \(0.539082\pi\) | |||||||
\(578\) | −8.83064 | + | 1.33101i | −0.367306 | + | 0.0553625i | ||||
\(579\) | 5.23920 | − | 4.86126i | 0.217734 | − | 0.202027i | ||||
\(580\) | −4.61063 | + | 5.78155i | −0.191446 | + | 0.240066i | ||||
\(581\) | −6.74688 | + | 2.48665i | −0.279908 | + | 0.103164i | ||||
\(582\) | −7.03588 | − | 8.82272i | −0.291647 | − | 0.365714i | ||||
\(583\) | −29.1936 | − | 4.40023i | −1.20907 | − | 0.182239i | ||||
\(584\) | −28.7971 | + | 19.6335i | −1.19163 | + | 0.812442i | ||||
\(585\) | −2.36595 | − | 6.02833i | −0.0978198 | − | 0.249241i | ||||
\(586\) | −2.32290 | + | 0.716521i | −0.0959583 | + | 0.0295992i | ||||
\(587\) | 15.9089 | 0.656630 | 0.328315 | − | 0.944568i | \(-0.393519\pi\) | ||||
0.328315 | + | 0.944568i | \(0.393519\pi\) | |||||||
\(588\) | 1.78526 | + | 0.633454i | 0.0736230 | + | 0.0261232i | ||||
\(589\) | −24.5667 | −1.01225 | ||||||||
\(590\) | −29.2670 | + | 9.02769i | −1.20491 | + | 0.371664i | ||||
\(591\) | 1.20593 | + | 3.07265i | 0.0496052 | + | 0.126392i | ||||
\(592\) | −4.87572 | + | 3.32421i | −0.200391 | + | 0.136624i | ||||
\(593\) | 7.17906 | + | 1.08207i | 0.294809 | + | 0.0444352i | 0.294781 | − | 0.955565i | \(-0.404753\pi\) |
2.73268e−5 | 1.00000i | \(0.499991\pi\) | ||||||||
\(594\) | 8.69567 | + | 10.9040i | 0.356788 | + | 0.447398i | ||||
\(595\) | −33.7176 | − | 3.23609i | −1.38229 | − | 0.132667i | ||||
\(596\) | 1.14424 | − | 1.43483i | 0.0468698 | − | 0.0587729i | ||||
\(597\) | 0.219363 | − | 0.203539i | 0.00897791 | − | 0.00833028i | ||||
\(598\) | 4.34477 | − | 0.654869i | 0.177671 | − | 0.0267796i | ||||
\(599\) | 14.4776 | + | 13.4333i | 0.591539 | + | 0.548868i | 0.918121 | − | 0.396301i | \(-0.129706\pi\) |
−0.326582 | + | 0.945169i | \(0.605897\pi\) | |||||||
\(600\) | −2.28663 | − | 1.55900i | −0.0933513 | − | 0.0636458i | ||||
\(601\) | 1.32148 | − | 5.78979i | 0.0539044 | − | 0.236170i | −0.940798 | − | 0.338968i | \(-0.889922\pi\) |
0.994702 | + | 0.102797i | \(0.0327794\pi\) | |||||||
\(602\) | −6.25235 | + | 12.3183i | −0.254827 | + | 0.502056i | ||||
\(603\) | 4.10514 | + | 17.9858i | 0.167174 | + | 0.732437i | ||||
\(604\) | −4.12603 | + | 10.5130i | −0.167886 | + | 0.427766i | ||||
\(605\) | 0.731542 | − | 9.76176i | 0.0297414 | − | 0.396872i | ||||
\(606\) | 1.85147 | − | 3.20684i | 0.0752108 | − | 0.130269i | ||||
\(607\) | −0.862564 | − | 1.49400i | −0.0350104 | − | 0.0606398i | 0.847989 | − | 0.530013i | \(-0.177813\pi\) |
−0.883000 | + | 0.469374i | \(0.844480\pi\) | |||||||
\(608\) | −6.41287 | + | 3.08828i | −0.260076 | + | 0.125246i | ||||
\(609\) | −4.38311 | + | 6.14893i | −0.177613 | + | 0.249167i | ||||
\(610\) | −41.1439 | − | 19.8139i | −1.66587 | − | 0.802241i | ||||
\(611\) | −0.390869 | − | 5.21579i | −0.0158129 | − | 0.211008i | ||||
\(612\) | −6.68750 | − | 2.06282i | −0.270326 | − | 0.0833846i | ||||
\(613\) | 12.0891 | + | 3.72900i | 0.488275 | + | 0.150613i | 0.529110 | − | 0.848553i | \(-0.322526\pi\) |
−0.0408354 | + | 0.999166i | \(0.513002\pi\) | |||||||
\(614\) | 0.435329 | + | 5.80907i | 0.0175685 | + | 0.234435i | ||||
\(615\) | 2.57338 | + | 1.23927i | 0.103769 | + | 0.0499724i | ||||
\(616\) | 8.56479 | + | 29.9749i | 0.345085 | + | 1.20772i | ||||
\(617\) | 27.4627 | − | 13.2253i | 1.10561 | − | 0.532432i | 0.210190 | − | 0.977661i | \(-0.432592\pi\) |
0.895417 | + | 0.445228i | \(0.146877\pi\) | |||||||
\(618\) | −2.10510 | − | 3.64613i | −0.0846794 | − | 0.146669i | ||||
\(619\) | 20.3424 | − | 35.2340i | 0.817629 | − | 1.41617i | −0.0897965 | − | 0.995960i | \(-0.528622\pi\) |
0.907425 | − | 0.420214i | \(-0.138045\pi\) | |||||||
\(620\) | 0.994478 | − | 13.2704i | 0.0399392 | − | 0.532952i | ||||
\(621\) | 4.30330 | − | 10.9646i | 0.172686 | − | 0.439996i | ||||
\(622\) | −7.92093 | − | 34.7039i | −0.317600 | − | 1.39150i | ||||
\(623\) | 1.97877 | + | 1.64677i | 0.0792776 | + | 0.0659765i | ||||
\(624\) | 0.284997 | − | 1.24865i | 0.0114090 | − | 0.0499862i | ||||
\(625\) | −25.3352 | − | 17.2732i | −1.01341 | − | 0.690929i | ||||
\(626\) | 7.70953 | + | 7.15340i | 0.308135 | + | 0.285907i | ||||
\(627\) | 4.92702 | − | 0.742628i | 0.196766 | − | 0.0296577i | ||||
\(628\) | 7.05560 | − | 6.54664i | 0.281549 | − | 0.261240i | ||||
\(629\) | −6.74747 | + | 8.46106i | −0.269039 | + | 0.337364i | ||||
\(630\) | 19.4989 | + | 11.8073i | 0.776855 | + | 0.470415i | ||||
\(631\) | 12.6989 | + | 15.9239i | 0.505536 | + | 0.633922i | 0.967468 | − | 0.252993i | \(-0.0814151\pi\) |
−0.461932 | + | 0.886915i | \(0.652844\pi\) | |||||||
\(632\) | −17.9238 | − | 2.70158i | −0.712971 | − | 0.107463i | ||||
\(633\) | −4.39257 | + | 2.99480i | −0.174589 | + | 0.119033i | ||||
\(634\) | 0.672492 | + | 1.71348i | 0.0267081 | + | 0.0680510i | ||||
\(635\) | 12.6816 | − | 3.91176i | 0.503254 | − | 0.155233i | ||||
\(636\) | 2.07872 | 0.0824264 | ||||||||
\(637\) | −0.211419 | − | 6.39784i | −0.00837672 | − | 0.253492i | ||||
\(638\) | −25.6353 | −1.01491 | ||||||||
\(639\) | 15.4087 | − | 4.75294i | 0.609558 | − | 0.188024i | ||||
\(640\) | 4.79733 | + | 12.2234i | 0.189631 | + | 0.483173i | ||||
\(641\) | −7.90560 | + | 5.38995i | −0.312252 | + | 0.212890i | −0.709298 | − | 0.704909i | \(-0.750988\pi\) |
0.397046 | + | 0.917799i | \(0.370035\pi\) | |||||||
\(642\) | 1.73847 | + | 0.262032i | 0.0686120 | + | 0.0103416i | ||||
\(643\) | −13.5589 | − | 17.0023i | −0.534709 | − | 0.670504i | 0.438950 | − | 0.898511i | \(-0.355350\pi\) |
−0.973659 | + | 0.228007i | \(0.926779\pi\) | |||||||
\(644\) | 3.77654 | − | 3.90340i | 0.148817 | − | 0.153816i | ||||
\(645\) | −3.61491 | + | 4.53295i | −0.142337 | + | 0.178485i | ||||
\(646\) | 10.9567 | − | 10.1663i | 0.431086 | − | 0.399990i | ||||
\(647\) | 3.80966 | − | 0.574214i | 0.149773 | − | 0.0225747i | −0.0737276 | − | 0.997278i | \(-0.523490\pi\) |
0.223501 | + | 0.974704i | \(0.428251\pi\) | |||||||
\(648\) | 14.9089 | + | 13.8334i | 0.585676 | + | 0.543428i | ||||
\(649\) | 30.8069 | + | 21.0038i | 1.20928 | + | 0.824472i | ||||
\(650\) | −0.429292 | + | 1.88085i | −0.0168382 | + | 0.0737730i | ||||
\(651\) | 0.283761 | − | 13.5860i | 0.0111215 | − | 0.532477i | ||||
\(652\) | 0.953630 | + | 4.17813i | 0.0373471 | + | 0.163628i | ||||
\(653\) | −10.3002 | + | 26.2444i | −0.403077 | + | 1.02702i | 0.574884 | + | 0.818235i | \(0.305047\pi\) |
−0.977961 | + | 0.208788i | \(0.933048\pi\) | |||||||
\(654\) | 0.226117 | − | 3.01732i | 0.00884187 | − | 0.117987i | ||||
\(655\) | 2.55041 | − | 4.41744i | 0.0996527 | − | 0.172604i | ||||
\(656\) | −2.84379 | − | 4.92558i | −0.111031 | − | 0.192312i | ||||
\(657\) | 27.9528 | − | 13.4613i | 1.09054 | − | 0.525177i | ||||
\(658\) | 12.2380 | + | 13.7546i | 0.477086 | + | 0.536211i | ||||
\(659\) | −18.4502 | − | 8.88515i | −0.718718 | − | 0.346116i | 0.0385181 | − | 0.999258i | \(-0.487736\pi\) |
−0.757236 | + | 0.653142i | \(0.773451\pi\) | |||||||
\(660\) | 0.201702 | + | 2.69153i | 0.00785124 | + | 0.104768i | ||||
\(661\) | −15.3566 | − | 4.73689i | −0.597303 | − | 0.184244i | −0.0186621 | − | 0.999826i | \(-0.505941\pi\) |
−0.578641 | + | 0.815582i | \(0.696417\pi\) | |||||||
\(662\) | −30.9748 | − | 9.55445i | −1.20387 | − | 0.371344i | ||||
\(663\) | −0.175527 | − | 2.34225i | −0.00681691 | − | 0.0909653i | ||||
\(664\) | 7.50669 | + | 3.61503i | 0.291316 | + | 0.140290i | ||||
\(665\) | 14.9814 | − | 8.23725i | 0.580952 | − | 0.319427i | ||||
\(666\) | 6.56169 | − | 3.15995i | 0.254261 | − | 0.122445i | ||||
\(667\) | 10.8253 | + | 18.7499i | 0.419155 | + | 0.725998i | ||||
\(668\) | 0.473924 | − | 0.820861i | 0.0183367 | − | 0.0317601i | ||||
\(669\) | −0.377810 | + | 5.04153i | −0.0146070 | + | 0.194917i | ||||
\(670\) | 7.79747 | − | 19.8676i | 0.301242 | − | 0.767553i | ||||
\(671\) | 12.3707 | + | 54.1997i | 0.477566 | + | 2.09236i | ||||
\(672\) | −1.63382 | − | 3.58215i | −0.0630260 | − | 0.138184i | ||||
\(673\) | 5.17718 | − | 22.6827i | 0.199566 | − | 0.874354i | −0.771630 | − | 0.636071i | \(-0.780558\pi\) |
0.971196 | − | 0.238283i | \(-0.0765844\pi\) | |||||||
\(674\) | 21.8298 | + | 14.8833i | 0.840852 | + | 0.573283i | ||||
\(675\) | 3.79118 | + | 3.51770i | 0.145923 | + | 0.135396i | ||||
\(676\) | −6.25214 | + | 0.942358i | −0.240467 | + | 0.0362446i | ||||
\(677\) | 1.45817 | − | 1.35299i | 0.0560421 | − | 0.0519995i | −0.651655 | − | 0.758516i | \(-0.725925\pi\) |
0.707697 | + | 0.706516i | \(0.249734\pi\) | |||||||
\(678\) | 4.51929 | − | 5.66702i | 0.173562 | − | 0.217640i | ||||
\(679\) | 6.05060 | + | 46.7474i | 0.232201 | + | 1.79400i | ||||
\(680\) | 24.4712 | + | 30.6859i | 0.938427 | + | 1.17675i | ||||
\(681\) | 2.81233 | + | 0.423891i | 0.107769 | + | 0.0162435i | ||||
\(682\) | 38.1165 | − | 25.9874i | 1.45955 | − | 0.995108i | ||||
\(683\) | −12.1849 | − | 31.0465i | −0.466241 | − | 1.18796i | −0.949858 | − | 0.312683i | \(-0.898772\pi\) |
0.483616 | − | 0.875280i | \(-0.339323\pi\) | |||||||
\(684\) | 3.37540 | − | 1.04117i | 0.129062 | − | 0.0398102i | ||||
\(685\) | −19.6570 | −0.751055 | ||||||||
\(686\) | 14.2617 | + | 17.4445i | 0.544514 | + | 0.666035i | ||||
\(687\) | 5.47849 | 0.209017 | ||||||||
\(688\) | 11.0323 | − | 3.40300i | 0.420601 | − | 0.129738i | ||||
\(689\) | −2.56633 | − | 6.53889i | −0.0977692 | − | 0.249112i | ||||
\(690\) | −5.36327 | + | 3.65661i | −0.204176 | + | 0.139205i | ||||
\(691\) | −3.67145 | − | 0.553382i | −0.139668 | − | 0.0210516i | 0.0788359 | − | 0.996888i | \(-0.474880\pi\) |
−0.218504 | + | 0.975836i | \(0.570118\pi\) | |||||||
\(692\) | 5.89442 | + | 7.39136i | 0.224072 | + | 0.280978i | ||||
\(693\) | −3.56209 | − | 27.5209i | −0.135313 | − | 1.04543i | ||||
\(694\) | 9.78728 | − | 12.2729i | 0.371520 | − | 0.465872i | ||||
\(695\) | 2.70793 | − | 2.51259i | 0.102718 | − | 0.0953081i | ||||
\(696\) | 8.65201 | − | 1.30408i | 0.327954 | − | 0.0494310i | ||||
\(697\) | −7.64611 | − | 7.09455i | −0.289617 | − | 0.268725i | ||||
\(698\) | 20.0986 | + | 13.7030i | 0.760743 | + | 0.518666i | ||||
\(699\) | −2.25158 | + | 9.86482i | −0.0851626 | + | 0.373122i | ||||
\(700\) | 0.989603 | + | 2.16970i | 0.0374035 | + | 0.0820070i | ||||
\(701\) | −3.60645 | − | 15.8009i | −0.136214 | − | 0.596792i | −0.996247 | − | 0.0865541i | \(-0.972414\pi\) |
0.860033 | − | 0.510238i | \(-0.170443\pi\) | |||||||
\(702\) | −1.21233 | + | 3.08896i | −0.0457564 | + | 0.116585i | ||||
\(703\) | 0.408195 | − | 5.44699i | 0.0153954 | − | 0.205437i | ||||
\(704\) | 17.0227 | − | 29.4842i | 0.641568 | − | 1.11123i | ||||
\(705\) | 3.86353 | + | 6.69184i | 0.145509 | + | 0.252029i | ||||
\(706\) | 12.7416 | − | 6.13602i | 0.479535 | − | 0.230932i | ||||
\(707\) | −13.5539 | + | 7.45237i | −0.509746 | + | 0.280275i | ||||
\(708\) | −2.36528 | − | 1.13906i | −0.0888926 | − | 0.0428084i | ||||
\(709\) | 0.173363 | + | 2.31336i | 0.00651077 | + | 0.0868802i | 0.999513 | − | 0.0312190i | \(-0.00993895\pi\) |
−0.993002 | + | 0.118099i | \(0.962320\pi\) | |||||||
\(710\) | −17.8264 | − | 5.49872i | −0.669013 | − | 0.206363i | ||||
\(711\) | 15.4186 | + | 4.75600i | 0.578241 | + | 0.178364i | ||||
\(712\) | −0.222917 | − | 2.97462i | −0.00835417 | − | 0.111479i | ||||
\(713\) | −35.1032 | − | 16.9048i | −1.31462 | − | 0.633090i | ||||
\(714\) | 5.49569 | + | 6.17677i | 0.205671 | + | 0.231160i | ||||
\(715\) | 8.21756 | − | 3.95737i | 0.307319 | − | 0.147997i | ||||
\(716\) | −4.20628 | − | 7.28550i | −0.157196 | − | 0.272272i | ||||
\(717\) | 1.53023 | − | 2.65044i | 0.0571475 | − | 0.0989823i | ||||
\(718\) | 1.22593 | − | 16.3589i | 0.0457514 | − | 0.610510i | ||||
\(719\) | −16.1079 | + | 41.0423i | −0.600725 | + | 1.53062i | 0.229567 | + | 0.973293i | \(0.426269\pi\) |
−0.830292 | + | 0.557329i | \(0.811826\pi\) | |||||||
\(720\) | −4.23925 | − | 18.5734i | −0.157988 | − | 0.692189i | ||||
\(721\) | −0.367235 | + | 17.5826i | −0.0136765 | + | 0.654809i | ||||
\(722\) | 3.46508 | − | 15.1815i | 0.128957 | − | 0.564997i | ||||
\(723\) | 0.322738 | + | 0.220039i | 0.0120028 | + | 0.00818334i | ||||
\(724\) | −5.98946 | − | 5.55741i | −0.222597 | − | 0.206540i | ||||
\(725\) | −9.39997 | + | 1.41682i | −0.349106 | + | 0.0526193i | ||||
\(726\) | −1.75152 | + | 1.62518i | −0.0650051 | + | 0.0603159i | ||||
\(727\) | −18.5917 | + | 23.3132i | −0.689527 | + | 0.864639i | −0.996193 | − | 0.0871782i | \(-0.972215\pi\) |
0.306666 | + | 0.951817i | \(0.400786\pi\) | |||||||
\(728\) | −5.15750 | + | 5.33075i | −0.191150 | + | 0.197571i | ||||
\(729\) | −8.38346 | − | 10.5125i | −0.310498 | − | 0.389353i | ||||
\(730\) | −35.4924 | − | 5.34962i | −1.31363 | − | 0.197998i | ||||
\(731\) | 17.4938 | − | 11.9271i | 0.647033 | − | 0.441140i | ||||
\(732\) | −1.43005 | − | 3.64372i | −0.0528563 | − | 0.134676i | ||||
\(733\) | 4.12606 | − | 1.27272i | 0.152399 | − | 0.0470090i | −0.217617 | − | 0.976034i | \(-0.569828\pi\) |
0.370016 | + | 0.929025i | \(0.379352\pi\) | |||||||
\(734\) | 9.65167 | 0.356250 | ||||||||
\(735\) | 4.38236 | + | 8.38021i | 0.161646 | + | 0.309109i | ||||
\(736\) | −11.2884 | −0.416096 | ||||||||
\(737\) | −24.8283 | + | 7.65851i | −0.914562 | + | 0.282105i | ||||
\(738\) | 2.56448 | + | 6.53418i | 0.0943998 | + | 0.240527i | ||||
\(739\) | −36.8952 | + | 25.1547i | −1.35721 | + | 0.925332i | −0.999962 | − | 0.00867667i | \(-0.997238\pi\) |
−0.357250 | + | 0.934009i | \(0.616286\pi\) | |||||||
\(740\) | 2.92582 | + | 0.440996i | 0.107555 | + | 0.0162113i | ||||
\(741\) | 0.739161 | + | 0.926879i | 0.0271538 | + | 0.0340497i | ||||
\(742\) | 21.1503 | + | 12.8073i | 0.776453 | + | 0.470172i | ||||
\(743\) | 5.19313 | − | 6.51198i | 0.190518 | − | 0.238902i | −0.677394 | − | 0.735621i | \(-0.736891\pi\) |
0.867911 | + | 0.496719i | \(0.165462\pi\) | |||||||
\(744\) | −11.5425 | + | 10.7098i | −0.423167 | + | 0.392642i | ||||
\(745\) | 9.05953 | − | 1.36551i | 0.331916 | − | 0.0500282i | ||||
\(746\) | −3.35405 | − | 3.11210i | −0.122801 | − | 0.113942i | ||||
\(747\) | −6.12796 | − | 4.17797i | −0.224210 | − | 0.152864i | ||||
\(748\) | 2.19330 | − | 9.60946i | 0.0801949 | − | 0.351357i | ||||
\(749\) | −5.64475 | − | 4.69768i | −0.206255 | − | 0.171650i | ||||
\(750\) | 1.19453 | + | 5.23358i | 0.0436181 | + | 0.191103i | ||||
\(751\) | −12.0024 | + | 30.5816i | −0.437973 | + | 1.11594i | 0.526129 | + | 0.850405i | \(0.323643\pi\) |
−0.964102 | + | 0.265532i | \(0.914452\pi\) | |||||||
\(752\) | 1.14986 | − | 15.3438i | 0.0419309 | − | 0.559529i | ||||
\(753\) | 3.78801 | − | 6.56103i | 0.138043 | − | 0.239097i | ||||
\(754\) | −3.04969 | − | 5.28222i | −0.111063 | − | 0.192367i | ||||
\(755\) | −50.7973 | + | 24.4627i | −1.84870 | + | 0.890288i | ||||
\(756\) | 1.12693 | + | 3.94400i | 0.0409859 | + | 0.143442i | ||||
\(757\) | −12.2206 | − | 5.88514i | −0.444166 | − | 0.213899i | 0.198413 | − | 0.980119i | \(-0.436421\pi\) |
−0.642579 | + | 0.766219i | \(0.722136\pi\) | |||||||
\(758\) | −0.0809724 | − | 1.08050i | −0.00294105 | − | 0.0392456i | ||||
\(759\) | 7.55119 | + | 2.32923i | 0.274091 | + | 0.0845458i | ||||
\(760\) | −18.9300 | − | 5.83913i | −0.686663 | − | 0.211808i | ||||
\(761\) | −0.543945 | − | 7.25844i | −0.0197180 | − | 0.263118i | −0.998347 | − | 0.0574822i | \(-0.981693\pi\) |
0.978629 | − | 0.205636i | \(-0.0659263\pi\) | |||||||
\(762\) | −2.91848 | − | 1.40547i | −0.105726 | − | 0.0509147i | ||||
\(763\) | −7.33632 | + | 10.2919i | −0.265593 | + | 0.372591i | ||||
\(764\) | 8.97796 | − | 4.32356i | 0.324811 | − | 0.156421i | ||||
\(765\) | −17.4690 | − | 30.2571i | −0.631591 | − | 1.09395i | ||||
\(766\) | 9.46395 | − | 16.3920i | 0.341946 | − | 0.592268i | ||||
\(767\) | −0.662959 | + | 8.84657i | −0.0239381 | + | 0.319431i | ||||
\(768\) | −2.19865 | + | 5.60206i | −0.0793368 | + | 0.202147i | ||||
\(769\) | −10.0367 | − | 43.9738i | −0.361934 | − | 1.58574i | −0.748280 | − | 0.663383i | \(-0.769120\pi\) |
0.386346 | − | 0.922354i | \(-0.373737\pi\) | |||||||
\(770\) | −14.5307 | + | 28.6282i | −0.523650 | + | 1.03169i | ||||
\(771\) | 1.50259 | − | 6.58328i | 0.0541145 | − | 0.237091i | ||||
\(772\) | 5.89605 | + | 4.01986i | 0.212204 | + | 0.144678i | ||||
\(773\) | 8.95637 | + | 8.31030i | 0.322138 | + | 0.298901i | 0.824620 | − | 0.565687i | \(-0.191389\pi\) |
−0.502482 | + | 0.864588i | \(0.667580\pi\) | |||||||
\(774\) | −14.0895 | + | 2.12366i | −0.506438 | + | 0.0763332i | ||||
\(775\) | 12.5403 | − | 11.6357i | 0.450461 | − | 0.417967i | ||||
\(776\) | 34.0543 | − | 42.7027i | 1.22248 | − | 1.53294i | ||||
\(777\) | 3.00761 | + | 0.288658i | 0.107897 | + | 0.0103556i | ||||
\(778\) | 5.78498 | + | 7.25413i | 0.207401 | + | 0.260073i | ||||
\(779\) | 5.20582 | + | 0.784651i | 0.186518 | + | 0.0281130i | ||||
\(780\) | −0.530601 | + | 0.361758i | −0.0189986 | + | 0.0129530i | ||||
\(781\) | 8.29710 | + | 21.1407i | 0.296894 | + | 0.756472i | ||||
\(782\) | 22.6516 | − | 6.98710i | 0.810020 | − | 0.249858i | ||||
\(783\) | −16.3510 | −0.584337 | ||||||||
\(784\) | 2.19014 | − | 18.7036i | 0.0782191 | − | 0.667985i | ||||
\(785\) | 48.0503 | 1.71499 | ||||||||
\(786\) | −1.18971 | + | 0.366976i | −0.0424355 | + | 0.0130896i | ||||
\(787\) | 11.2313 | + | 28.6168i | 0.400352 | + | 1.02008i | 0.978883 | + | 0.204419i | \(0.0655306\pi\) |
−0.578532 | + | 0.815660i | \(0.696374\pi\) | |||||||
\(788\) | −2.72304 | + | 1.85654i | −0.0970043 | + | 0.0661364i | ||||
\(789\) | −10.3929 | − | 1.56648i | −0.369998 | − | 0.0557682i | ||||
\(790\) | −11.6388 | − | 14.5946i | −0.414090 | − | 0.519252i | ||||
\(791\) | −28.4092 | + | 10.4706i | −1.01011 | + | 0.372291i | ||||
\(792\) | −20.0483 | + | 25.1398i | −0.712385 | + | 0.893303i | ||||
\(793\) | −9.69632 | + | 8.99687i | −0.344326 | + | 0.319488i | ||||
\(794\) | −26.4233 | + | 3.98268i | −0.937729 | + | 0.141340i | ||||
\(795\) | 7.60723 | + | 7.05848i | 0.269801 | + | 0.250339i | ||||
\(796\) | 0.246865 | + | 0.168310i | 0.00874989 | + | 0.00596557i | ||||
\(797\) | 4.11684 | − | 18.0371i | 0.145826 | − | 0.638906i | −0.848192 | − | 0.529689i | \(-0.822309\pi\) |
0.994018 | − | 0.109217i | \(-0.0348342\pi\) | |||||||
\(798\) | −4.04808 | − | 1.01333i | −0.143300 | − | 0.0358714i | ||||
\(799\) | −6.27910 | − | 27.5105i | −0.222139 | − | 0.973253i | ||||
\(800\) | 1.81079 | − | 4.61381i | 0.0640210 | − | 0.163123i | ||||
\(801\) | −0.198433 | + | 2.64791i | −0.00701130 | + | 0.0935593i | ||||
\(802\) | −16.9171 | + | 29.3014i | −0.597365 | + | 1.03467i | ||||
\(803\) | 21.8480 | + | 37.8418i | 0.770999 | + | 1.33541i | ||||
\(804\) | 1.64825 | − | 0.793754i | 0.0581292 | − | 0.0279936i | ||||
\(805\) | 27.0749 | − | 1.46120i | 0.954266 | − | 0.0515007i | ||||
\(806\) | 9.88928 | + | 4.76243i | 0.348335 | + | 0.167749i | ||||
\(807\) | −0.572957 | − | 7.64558i | −0.0201690 | − | 0.269137i | ||||
\(808\) | 17.1263 | + | 5.28276i | 0.602500 | + | 0.185847i | ||||
\(809\) | −1.02796 | − | 0.317084i | −0.0361412 | − | 0.0111481i | 0.276632 | − | 0.960976i | \(-0.410782\pi\) |
−0.312773 | + | 0.949828i | \(0.601258\pi\) | |||||||
\(810\) | 1.56522 | + | 20.8864i | 0.0549963 | + | 0.733874i | ||||
\(811\) | 19.9517 | + | 9.60822i | 0.700598 | + | 0.337390i | 0.750045 | − | 0.661387i | \(-0.230032\pi\) |
−0.0494474 | + | 0.998777i | \(0.515746\pi\) | |||||||
\(812\) | −6.95929 | − | 2.90045i | −0.244223 | − | 0.101786i | ||||
\(813\) | 0.00646893 | − | 0.00311527i | 0.000226875 | − | 0.000109257i | ||||
\(814\) | 5.12865 | + | 8.88308i | 0.179759 | + | 0.311352i | ||||
\(815\) | −10.6973 | + | 18.5284i | −0.374712 | + | 0.649020i | ||||
\(816\) | 0.516364 | − | 6.89040i | 0.0180764 | − | 0.241212i | ||||
\(817\) | −3.90427 | + | 9.94791i | −0.136593 | + | 0.348033i | ||||
\(818\) | 5.66379 | + | 24.8147i | 0.198030 | + | 0.867625i | ||||
\(819\) | 5.24700 | − | 4.00800i | 0.183345 | − | 0.140051i | ||||
\(820\) | −0.634586 | + | 2.78030i | −0.0221607 | + | 0.0970924i | ||||
\(821\) | 29.3734 | + | 20.0265i | 1.02514 | + | 0.698929i | 0.954389 | − | 0.298565i | \(-0.0965081\pi\) |
0.0707509 | + | 0.997494i | \(0.477460\pi\) | |||||||
\(822\) | 3.51713 | + | 3.26342i | 0.122674 | + | 0.113825i | ||||
\(823\) | −12.8556 | + | 1.93767i | −0.448118 | + | 0.0675430i | −0.369225 | − | 0.929340i | \(-0.620377\pi\) |
−0.0788935 | + | 0.996883i | \(0.525139\pi\) | |||||||
\(824\) | 14.9379 | − | 13.8603i | 0.520386 | − | 0.482848i | ||||
\(825\) | −2.16330 | + | 2.71270i | −0.0753166 | + | 0.0944440i | ||||
\(826\) | −17.0481 | − | 26.1625i | −0.593179 | − | 0.910309i | ||||
\(827\) | −30.9658 | − | 38.8299i | −1.07679 | − | 1.35025i | −0.932688 | − | 0.360685i | \(-0.882543\pi\) |
−0.144099 | − | 0.989563i | \(-0.546028\pi\) | |||||||
\(828\) | 5.53953 | + | 0.834950i | 0.192512 | + | 0.0290165i | ||||
\(829\) | 13.4160 | − | 9.14689i | 0.465958 | − | 0.317685i | −0.307483 | − | 0.951554i | \(-0.599487\pi\) |
0.773440 | + | 0.633869i | \(0.218534\pi\) | |||||||
\(830\) | 3.13478 | + | 7.98729i | 0.108810 | + | 0.277243i | ||||
\(831\) | −13.2406 | + | 4.08419i | −0.459312 | + | 0.141679i | ||||
\(832\) | 8.10041 | 0.280831 | ||||||||
\(833\) | −6.27224 | − | 33.9607i | −0.217320 | − | 1.17667i | ||||
\(834\) | −0.901654 | −0.0312217 | ||||||||
\(835\) | 4.52168 | − | 1.39475i | 0.156479 | − | 0.0482674i | ||||
\(836\) | 1.81755 | + | 4.63104i | 0.0628612 | + | 0.160168i | ||||
\(837\) | 24.3119 | − | 16.5756i | 0.840342 | − | 0.572936i | ||||
\(838\) | −8.01482 | − | 1.20804i | −0.276867 | − | 0.0417310i | ||||
\(839\) | −20.2542 | − | 25.3980i | −0.699253 | − | 0.876835i | 0.297715 | − | 0.954655i | \(-0.403776\pi\) |
−0.996967 | + | 0.0778199i | \(0.975204\pi\) | |||||||
\(840\) | 3.44784 | − | 10.4013i | 0.118962 | − | 0.358879i | ||||
\(841\) | 0.657451 | − | 0.824418i | 0.0226707 | − | 0.0284282i | ||||
\(842\) | −7.62013 | + | 7.07045i | −0.262607 | + | 0.243664i | ||||
\(843\) | −5.19523 | + | 0.783054i | −0.178933 | + | 0.0269698i | ||||
\(844\) | −3.89111 | − | 3.61042i | −0.133937 | − | 0.124276i | ||||
\(845\) | −26.0801 | − | 17.7811i | −0.897183 | − | 0.611689i | ||||
\(846\) | −4.22564 | + | 18.5137i | −0.145280 | + | 0.636515i | ||||
\(847\) | 9.77461 | − | 2.01722i | 0.335860 | − | 0.0693125i | ||||
\(848\) | −4.59829 | − | 20.1464i | −0.157906 | − | 0.691830i | ||||
\(849\) | −1.56615 | + | 3.99048i | −0.0537500 | + | 0.136953i | ||||
\(850\) | −0.777799 | + | 10.3790i | −0.0266783 | + | 0.355997i | ||||
\(851\) | 4.33144 | − | 7.50228i | 0.148480 | − | 0.257175i | ||||
\(852\) | −0.799517 | − | 1.38480i | −0.0273910 | − | 0.0474426i | ||||
\(853\) | 5.17203 | − | 2.49072i | 0.177087 | − | 0.0852806i | −0.343240 | − | 0.939248i | \(-0.611524\pi\) |
0.520327 | + | 0.853967i | \(0.325810\pi\) | |||||||
\(854\) | 7.89921 | − | 45.8846i | 0.270305 | − | 1.57014i | ||||
\(855\) | 15.8879 | + | 7.65123i | 0.543356 | + | 0.261667i | ||||
\(856\) | 0.635907 | + | 8.48559i | 0.0217349 | + | 0.290032i | ||||
\(857\) | 6.27736 | + | 1.93631i | 0.214430 | + | 0.0661430i | 0.400109 | − | 0.916467i | \(-0.368972\pi\) |
−0.185679 | + | 0.982611i | \(0.559448\pi\) | |||||||
\(858\) | −2.12732 | − | 0.656193i | −0.0726257 | − | 0.0224020i | ||||
\(859\) | −2.76680 | − | 36.9203i | −0.0944019 | − | 1.25971i | −0.820312 | − | 0.571916i | \(-0.806200\pi\) |
0.725910 | − | 0.687789i | \(-0.241419\pi\) | |||||||
\(860\) | −5.21559 | − | 2.51170i | −0.177850 | − | 0.0856481i | ||||
\(861\) | −0.494062 | + | 2.86988i | −0.0168376 | + | 0.0978054i | ||||
\(862\) | 4.51485 | − | 2.17424i | 0.153777 | − | 0.0740549i | ||||
\(863\) | 20.8122 | + | 36.0478i | 0.708456 | + | 1.22708i | 0.965430 | + | 0.260663i | \(0.0839411\pi\) |
−0.256974 | + | 0.966418i | \(0.582726\pi\) | |||||||
\(864\) | 4.26264 | − | 7.38312i | 0.145018 | − | 0.251179i | ||||
\(865\) | −3.52699 | + | 47.0644i | −0.119921 | + | 1.60024i | ||||
\(866\) | 1.78364 | − | 4.54464i | 0.0606106 | − | 0.154433i | ||||
\(867\) | −0.850346 | − | 3.72561i | −0.0288793 | − | 0.126528i | ||||
\(868\) | 13.2879 | − | 2.74226i | 0.451020 | − | 0.0930784i | ||||
\(869\) | −5.05682 | + | 22.1554i | −0.171541 | + | 0.751569i | ||||
\(870\) | 7.44510 | + | 5.07598i | 0.252412 | + | 0.172092i | ||||
\(871\) | −4.53175 | − | 4.20485i | −0.153552 | − | 0.142476i | ||||
\(872\) | 14.4815 | − | 2.18273i | 0.490404 | − | 0.0739165i | ||||
\(873\) | −35.6409 | + | 33.0699i | −1.20626 | + | 1.11925i | ||||
\(874\) | −7.45978 | + | 9.35427i | −0.252331 | + | 0.316413i | ||||
\(875\) | 7.05541 | − | 21.2845i | 0.238516 | − | 0.719547i | ||||
\(876\) | −1.91823 | − | 2.40538i | −0.0648109 | − | 0.0812703i | ||||
\(877\) | 33.5334 | + | 5.05435i | 1.13234 | + | 0.170673i | 0.688365 | − | 0.725365i | \(-0.258329\pi\) |
0.443978 | + | 0.896038i | \(0.353567\pi\) | |||||||
\(878\) | −10.3996 | + | 7.09034i | −0.350970 | + | 0.239287i | ||||
\(879\) | −0.380032 | − | 0.968306i | −0.0128182 | − | 0.0326602i | ||||
\(880\) | 25.6394 | − | 7.90872i | 0.864305 | − | 0.266603i | ||||
\(881\) | 30.2664 | 1.01970 | 0.509850 | − | 0.860263i | \(-0.329701\pi\) | ||||
0.509850 | + | 0.860263i | \(0.329701\pi\) | |||||||
\(882\) | −6.11319 | + | 22.4226i | −0.205842 | + | 0.755009i | ||||
\(883\) | 16.7390 | 0.563313 | 0.281657 | − | 0.959515i | \(-0.409116\pi\) | ||||
0.281657 | + | 0.959515i | \(0.409116\pi\) | |||||||
\(884\) | 2.24098 | − | 0.691251i | 0.0753723 | − | 0.0232493i | ||||
\(885\) | −4.78815 | − | 12.2000i | −0.160952 | − | 0.410099i | ||||
\(886\) | −22.1117 | + | 15.0755i | −0.742857 | + | 0.506471i | ||||
\(887\) | 53.8722 | + | 8.11992i | 1.80885 | + | 0.272640i | 0.964678 | − | 0.263431i | \(-0.0848543\pi\) |
0.844172 | + | 0.536072i | \(0.180092\pi\) | |||||||
\(888\) | −2.18282 | − | 2.73717i | −0.0732508 | − | 0.0918536i | ||||
\(889\) | 7.38705 | + | 11.3364i | 0.247754 | + | 0.380210i | ||||
\(890\) | 1.91535 | − | 2.40177i | 0.0642025 | − | 0.0805074i | ||||
\(891\) | 18.6914 | − | 17.3431i | 0.626187 | − | 0.581017i | ||||
\(892\) | −4.99144 | + | 0.752338i | −0.167126 | + | 0.0251901i | ||||
\(893\) | 10.4405 | + | 9.68739i | 0.349379 | + | 0.324176i | ||||
\(894\) | −1.84768 | − | 1.25973i | −0.0617956 | − | 0.0421315i | ||||
\(895\) | 9.34537 | − | 40.9447i | 0.312381 | − | 1.36863i | ||||
\(896\) | −10.6391 | + | 8.12685i | −0.355429 | + | 0.271499i | ||||
\(897\) | 0.418380 | + | 1.83304i | 0.0139693 | + | 0.0612034i | ||||
\(898\) | 7.02975 | − | 17.9115i | 0.234586 | − | 0.597715i | ||||
\(899\) | −4.04179 | + | 53.9339i | −0.134801 | + | 1.79880i | ||||
\(900\) | −1.22986 | + | 2.13019i | −0.0409955 | + | 0.0710063i | ||||
\(901\) | −18.9485 | − | 32.8197i | −0.631265 | − | 1.09338i | ||||
\(902\) | −8.90711 | + | 4.28944i | −0.296574 | + | 0.142823i | ||||
\(903\) | −5.45634 | − | 2.27406i | −0.181576 | − | 0.0756760i | ||||
\(904\) | 31.6085 | + | 15.2218i | 1.05128 | + | 0.506271i | ||||
\(905\) | −3.04822 | − | 40.6756i | −0.101326 | − | 1.35210i | ||||
\(906\) | 13.1502 | + | 4.05629i | 0.436885 | + | 0.134761i | ||||
\(907\) | −17.1133 | − | 5.27876i | −0.568239 | − | 0.175278i | −0.00269439 | − | 0.999996i | \(-0.500858\pi\) |
−0.565544 | + | 0.824718i | \(0.691334\pi\) | |||||||
\(908\) | 0.212210 | + | 2.83175i | 0.00704244 | + | 0.0939748i | ||||
\(909\) | −14.3741 | − | 6.92219i | −0.476758 | − | 0.229595i | ||||
\(910\) | −7.62756 | + | 0.411651i | −0.252851 | + | 0.0136461i | ||||
\(911\) | −27.1520 | + | 13.0757i | −0.899586 | + | 0.433218i | −0.825739 | − | 0.564052i | \(-0.809242\pi\) |
−0.0738463 | + | 0.997270i | \(0.523527\pi\) | |||||||
\(912\) | 1.74378 | + | 3.02031i | 0.0577423 | + | 0.100013i | ||||
\(913\) | 5.22284 | − | 9.04622i | 0.172851 | − | 0.299386i | ||||
\(914\) | 2.21463 | − | 29.5521i | 0.0732533 | − | 0.977497i | ||||
\(915\) | 7.13919 | − | 18.1904i | 0.236014 | − | 0.601355i | ||||
\(916\) | 1.21719 | + | 5.33284i | 0.0402170 | + | 0.176202i | ||||
\(917\) | 5.04492 | + | 1.26286i | 0.166598 | + | 0.0417033i | ||||
\(918\) | −3.98367 | + | 17.4536i | −0.131481 | + | 0.576054i | ||||
\(919\) | −25.6403 | − | 17.4813i | −0.845796 | − | 0.576654i | 0.0610413 | − | 0.998135i | \(-0.480558\pi\) |
−0.906837 | + | 0.421481i | \(0.861510\pi\) | |||||||
\(920\) | −23.0309 | − | 21.3696i | −0.759307 | − | 0.704534i | ||||
\(921\) | −2.46490 | + | 0.371524i | −0.0812212 | + | 0.0122421i | ||||
\(922\) | −33.4083 | + | 30.9983i | −1.10024 | + | 1.02088i | ||||
\(923\) | −3.36903 | + | 4.22463i | −0.110893 | + | 0.139055i | ||||
\(924\) | −2.58207 | + | 0.951658i | −0.0849440 | + | 0.0313073i | ||||
\(925\) | 2.37153 | + | 2.97380i | 0.0779753 | + | 0.0977780i | ||||
\(926\) | 5.72754 | + | 0.863288i | 0.188219 | + | 0.0283694i | ||||
\(927\) | −14.9876 | + | 10.2184i | −0.492257 | + | 0.335615i | ||||
\(928\) | 5.72495 | + | 14.5869i | 0.187931 | + | 0.478840i | ||||
\(929\) | −48.6726 | + | 15.0135i | −1.59689 | + | 0.492577i | −0.960381 | − | 0.278689i | \(-0.910100\pi\) |
−0.636513 | + | 0.771266i | \(0.719624\pi\) | |||||||
\(930\) | −16.2156 | −0.531731 | ||||||||
\(931\) | 12.2716 | + | 12.3793i | 0.402186 | + | 0.405714i | ||||
\(932\) | −10.1028 | −0.330929 | ||||||||
\(933\) | 14.5554 | − | 4.48974i | 0.476522 | − | 0.146987i | ||||
\(934\) | −13.6145 | − | 34.6891i | −0.445479 | − | 1.13506i | ||||
\(935\) | 40.6564 | − | 27.7191i | 1.32961 | − | 0.906510i | ||||
\(936\) | −7.56516 | − | 1.14026i | −0.247275 | − | 0.0372707i | ||||
\(937\) | 32.5078 | + | 40.7635i | 1.06198 | + | 1.33169i | 0.940765 | + | 0.339060i | \(0.110109\pi\) |
0.121219 | + | 0.992626i | \(0.461320\pi\) | |||||||
\(938\) | 21.6609 | + | 2.07893i | 0.707253 | + | 0.0678795i | ||||
\(939\) | −2.80593 | + | 3.51853i | −0.0915681 | + | 0.114823i | ||||
\(940\) | −5.65555 | + | 5.24759i | −0.184464 | + | 0.171157i | ||||
\(941\) | 5.49089 | − | 0.827618i | 0.178998 | − | 0.0269796i | −0.0589316 | − | 0.998262i | \(-0.518769\pi\) |
0.237929 | + | 0.971282i | \(0.423531\pi\) | |||||||
\(942\) | −8.59742 | − | 7.97724i | −0.280119 | − | 0.259913i | ||||
\(943\) | 6.89862 | + | 4.70340i | 0.224650 | + | 0.153164i | ||||
\(944\) | −5.80729 | + | 25.4434i | −0.189011 | + | 0.828112i | ||||
\(945\) | −9.26815 | + | 18.2600i | −0.301493 | + | 0.593997i | ||||
\(946\) | −4.46552 | − | 19.5647i | −0.145187 | − | 0.636104i | ||||
\(947\) | 19.3252 | − | 49.2399i | 0.627986 | − | 1.60008i | −0.161887 | − | 0.986809i | \(-0.551758\pi\) |
0.789872 | − | 0.613272i | \(-0.210147\pi\) | |||||||
\(948\) | 0.119573 | − | 1.59559i | 0.00388354 | − | 0.0518222i | ||||
\(949\) | −5.19827 | + | 9.00368i | −0.168743 | + | 0.292272i | ||||
\(950\) | −2.62666 | − | 4.54950i | −0.0852200 | − | 0.147605i | ||||
\(951\) | −0.709664 | + | 0.341756i | −0.0230124 | + | 0.0110822i | ||||
\(952\) | −23.2275 | + | 32.5852i | −0.752809 | + | 1.05609i | ||||
\(953\) | 32.9680 | + | 15.8765i | 1.06794 | + | 0.514292i | 0.883441 | − | 0.468541i | \(-0.155220\pi\) |
0.184496 | + | 0.982833i | \(0.440935\pi\) | |||||||
\(954\) | 1.90587 | + | 25.4321i | 0.0617049 | + | 0.823395i | ||||
\(955\) | 47.5366 | + | 14.6631i | 1.53825 | + | 0.474487i | ||||
\(956\) | 2.91995 | + | 0.900687i | 0.0944381 | + | 0.0291303i | ||||
\(957\) | −0.819763 | − | 10.9390i | −0.0264992 | − | 0.353607i | ||||
\(958\) | 35.9086 | + | 17.2927i | 1.16016 | + | 0.558702i | ||||
\(959\) | −5.50613 | − | 19.2703i | −0.177802 | − | 0.622269i | ||||
\(960\) | −10.7819 | + | 5.19229i | −0.347984 | + | 0.167580i | ||||
\(961\) | −33.1650 | − | 57.4434i | −1.06984 | − | 1.85301i | ||||
\(962\) | −1.22026 | + | 2.11354i | −0.0393426 | + | 0.0681434i | ||||
\(963\) | 0.566063 | − | 7.55359i | 0.0182411 | − | 0.243411i | ||||
\(964\) | −0.142485 | + | 0.363045i | −0.00458913 | + | 0.0116929i | ||||
\(965\) | 7.92727 | + | 34.7316i | 0.255188 | + | 1.11805i | ||||
\(966\) | −5.08698 | − | 4.23349i | −0.163671 | − | 0.136210i | ||||
\(967\) | −0.0832325 | + | 0.364665i | −0.00267658 | + | 0.0117268i | −0.976249 | − | 0.216653i | \(-0.930486\pi\) |
0.973572 | + | 0.228380i | \(0.0733430\pi\) | |||||||
\(968\) | −9.55519 | − | 6.51462i | −0.307115 | − | 0.209388i | ||||
\(969\) | 4.68851 | + | 4.35030i | 0.150617 | + | 0.139752i | ||||
\(970\) | 55.6204 | − | 8.38342i | 1.78586 | − | 0.269175i | ||||
\(971\) | 3.35972 | − | 3.11737i | 0.107819 | − | 0.100041i | −0.624422 | − | 0.781087i | \(-0.714665\pi\) |
0.732240 | + | 0.681046i | \(0.238475\pi\) | |||||||
\(972\) | −4.01924 | + | 5.03996i | −0.128917 | + | 0.161657i | ||||
\(973\) | 3.22168 | + | 1.95085i | 0.103282 | + | 0.0625414i | ||||
\(974\) | 10.6275 | + | 13.3264i | 0.340526 | + | 0.427006i | ||||
\(975\) | −0.816315 | − | 0.123040i | −0.0261430 | − | 0.00394043i | ||||
\(976\) | −32.1506 | + | 21.9199i | −1.02912 | + | 0.701640i | ||||
\(977\) | 4.22484 | + | 10.7647i | 0.135165 | + | 0.344394i | 0.982391 | − | 0.186839i | \(-0.0598242\pi\) |
−0.847226 | + | 0.531233i | \(0.821729\pi\) | |||||||
\(978\) | 4.99007 | − | 1.53923i | 0.159565 | − | 0.0492193i | ||||
\(979\) | −3.73978 | −0.119524 | ||||||||
\(980\) | −7.18377 | + | 6.12774i | −0.229477 | + | 0.195743i | ||||
\(981\) | −13.0365 | −0.416224 | ||||||||
\(982\) | −14.5932 | + | 4.50139i | −0.465686 | + | 0.143645i | ||||
\(983\) | −9.77217 | − | 24.8991i | −0.311684 | − | 0.794158i | −0.997777 | − | 0.0666437i | \(-0.978771\pi\) |
0.686093 | − | 0.727514i | \(-0.259324\pi\) | |||||||
\(984\) | 2.78798 | − | 1.90081i | 0.0888775 | − | 0.0605956i | ||||
\(985\) | −16.2692 | − | 2.45219i | −0.518381 | − | 0.0781334i | ||||
\(986\) | −20.5166 | − | 25.7270i | −0.653383 | − | 0.819316i | ||||
\(987\) | −5.47797 | + | 5.66198i | −0.174366 | + | 0.180223i | ||||
\(988\) | −0.738015 | + | 0.925441i | −0.0234794 | + | 0.0294422i | ||||
\(989\) | −12.4241 | + | 11.5279i | −0.395064 | + | 0.366566i | ||||
\(990\) | −32.7446 | + | 4.93546i | −1.04069 | + | 0.156859i | ||||
\(991\) | −44.5427 | − | 41.3296i | −1.41495 | − | 1.31288i | −0.885582 | − | 0.464483i | \(-0.846240\pi\) |
−0.529364 | − | 0.848395i | \(-0.677569\pi\) | |||||||
\(992\) | −23.2996 | − | 15.8854i | −0.739762 | − | 0.504361i | ||||
\(993\) | 3.08652 | − | 13.5229i | 0.0979478 | − | 0.429137i | ||||
\(994\) | 0.397172 | − | 19.0159i | 0.0125975 | − | 0.603149i | ||||
\(995\) | 0.331911 | + | 1.45420i | 0.0105223 | + | 0.0461011i | ||||
\(996\) | −0.268698 | + | 0.684632i | −0.00851403 | + | 0.0216934i | ||||
\(997\) | 2.71584 | − | 36.2404i | 0.0860115 | − | 1.14774i | −0.772522 | − | 0.634988i | \(-0.781005\pi\) |
0.858534 | − | 0.512757i | \(-0.171376\pi\) | |||||||
\(998\) | 8.08924 | − | 14.0110i | 0.256061 | − | 0.443510i | ||||
\(999\) | 3.27121 | + | 5.66591i | 0.103497 | + | 0.179261i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 49.2.g.a.25.4 | yes | 48 | |
3.2 | odd | 2 | 441.2.bb.d.172.1 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.417.2 | 48 | |||
7.2 | even | 3 | 343.2.g.i.177.1 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.99.3 | 48 | |||
7.4 | even | 3 | 343.2.e.d.99.3 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.177.1 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.67.4 | 48 | |||
49.2 | even | 21 | inner | 49.2.g.a.2.4 | ✓ | 48 | |
49.10 | odd | 42 | 2401.2.a.i.1.17 | 24 | |||
49.11 | even | 21 | 343.2.e.d.246.3 | 48 | |||
49.13 | odd | 14 | 343.2.g.h.312.1 | 48 | |||
49.36 | even | 7 | 343.2.g.i.312.1 | 48 | |||
49.38 | odd | 42 | 343.2.e.c.246.3 | 48 | |||
49.39 | even | 21 | 2401.2.a.h.1.17 | 24 | |||
49.47 | odd | 42 | 343.2.g.g.128.4 | 48 | |||
147.2 | odd | 42 | 441.2.bb.d.100.1 | 48 | |||
196.51 | odd | 42 | 784.2.bg.c.737.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.2.4 | ✓ | 48 | 49.2 | even | 21 | inner | |
49.2.g.a.25.4 | yes | 48 | 1.1 | even | 1 | trivial | |
343.2.e.c.99.3 | 48 | 7.3 | odd | 6 | |||
343.2.e.c.246.3 | 48 | 49.38 | odd | 42 | |||
343.2.e.d.99.3 | 48 | 7.4 | even | 3 | |||
343.2.e.d.246.3 | 48 | 49.11 | even | 21 | |||
343.2.g.g.67.4 | 48 | 7.6 | odd | 2 | |||
343.2.g.g.128.4 | 48 | 49.47 | odd | 42 | |||
343.2.g.h.177.1 | 48 | 7.5 | odd | 6 | |||
343.2.g.h.312.1 | 48 | 49.13 | odd | 14 | |||
343.2.g.i.177.1 | 48 | 7.2 | even | 3 | |||
343.2.g.i.312.1 | 48 | 49.36 | even | 7 | |||
441.2.bb.d.100.1 | 48 | 147.2 | odd | 42 | |||
441.2.bb.d.172.1 | 48 | 3.2 | odd | 2 | |||
784.2.bg.c.417.2 | 48 | 4.3 | odd | 2 | |||
784.2.bg.c.737.2 | 48 | 196.51 | odd | 42 | |||
2401.2.a.h.1.17 | 24 | 49.39 | even | 21 | |||
2401.2.a.i.1.17 | 24 | 49.10 | odd | 42 |